Search results for: union-prime ideals

Authors: Shai Sarussi

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The union of a nonempty chain of prime ideals in a noncommutative ring is not necessarily a prime ideal. An ideal is called union-prime if it is a union of a nonempty chain of prime ideals but is not a prime. In this paper, some relations between chains of prime ideals and the induced chains of union-prime ideals are shown; in particular, the cardinality of such chains and the cardinality of the sets of cuts of such chains are discussed. For a ring R and a nonempty full chain of prime ideals C of R, several characterizations for the property of immediate neighbors in C are given.

Keywords: prime ideals, union-prime ideals, immediate neighbors, Kaplansky's conjecture

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Authors: Tumadhir Fahim M Alsulami

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The concept of this paper builds on connecting between two important notions, fuzzy ideals of BCK-algebras and derivation of BCI-algebras. The result we got is a new concept called derivation fuzzy ideals of BCI-algebras. Followed by various results and important theorems on different types of ideals. In chapter 1: We presented the basic and fundamental concepts of BCK\ BCI- algebras as follows: BCK/BCI-algebras, BCK sub-algebras, bounded BCK-algebras, positive implicative BCK-algebras, commutative BCK-algebras, implicative BCK- algebras. Moreover, we discussed ideals of BCK-algebras, positive implicative ideals, implicative ideals and commutative ideals. In the last section of chapter 1 we proposed the notion of derivation of BCI-algebras, regular derivation of BCI-algebras and basic definitions and properties. In chapter 2: It includes 3 sections as follows: Section 1 contains elementary concepts of fuzzy sets and fuzzy set operations. Section 2 shows O. G. Xi idea, where he applies fuzzy sets concept to BCK-algebras and we studied fuzzy sub-algebras as well. Section 3 contains fuzzy ideals of BCK-algebras basic definitions, closed fuzzy ideals, fuzzy commutative ideals, fuzzy positive implicative ideals, fuzzy implicative ideals, fuzzy H-ideals and fuzzy p-ideals. Moreover, we investigated their concepts in diverse theorems and propositions. In chapter 3: The main concept of our thesis on derivation fuzzy ideals of BCI- algebras is introduced. Chapter 3 splits into 4 sections. We start with General definitions and important theorems on derivation fuzzy ideal theory in section 1. Section 2 and 3 contain derivations fuzzy p-ideals and derivations fuzzy H-ideals of BCI- algebras, several important theorems and propositions were introduced. The last section studied derivations fuzzy implicative ideals of BCI-algebras and it includes new theorems and results. Furthermore, we presented a new theorem that associate derivations fuzzy implicative ideals, derivations fuzzy positive implicative ideals and derivations fuzzy commutative ideals. These concepts and the new results were obtained and introduced in chapter 3 were submitted in two separated articles and accepted for publication.

Keywords: BCK, BCI, algebras, derivation

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Authors: Masoud Karimi

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‎Let R be a commutative ring‎. ‎The regular digraph of ideals of R, which is denoted by‎ Γ(R)‎, ‎is a digraph whose vertex-set is the set of all ‎non-‎trivial ideals of R and‎, ‎for every‎ two distinct vertices I and J‎, ‎there is an arc from I to J‎, ‎whenever I contains‎ a non-zero-divisor on J. In this article, ‎we ‎show ‎that an indecomposable ‎Noetherian ring ‎‎‎R ‎is ‎Artinian ‎local ‎if ‎and ‎only ‎if Z(I)=Z(R) ‎for ‎every ‎non-nilpotent ‎ideal ‎‎‎I‎. ‎Then ‎we ‎conclude ‎that ‎‎the ‎girth ‎of‎ Γ(R)‎ ‎is ‎not ‎equal ‎to ‎four.

Keywords: commutative ring‎, ‎girth‎, regular digraph‎, zero-divisor

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Authors: Yanisa Chaiya, Jintana Sanwong

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Let V be a vector space over a field and W a subspace of V. Let Fix(V,W) denote the set of all linear transformations on V with fix all elements in W. In this paper, we show that Fix(V,W) is a semigroup under the composition of maps and describe Green’s relations on this semigroup in terms of images, kernels and the dimensions of subspaces of the quotient space V/W where V/W = {v+W : v is an element in V} with v+W = {v+w : w is an element in W}. Let dim(U) denote the dimension of a vector space U and Vα = {vα : v is an element in V} where vα is an image of v under a linear transformation α. For any cardinal number a let a'= min{b : b > a}. We also show that the ideals of Fix(V,W) are precisely the sets. Fix(r) ={α ∊ Fix(V,W) : dim(Vα/W) < r} where 1 ≤ r ≤ a' and a = dim(V/W). Moreover, we prove that if V is a finite-dimensional vector space, then every ideal of Fix(V,W) is principle.

Keywords: Green’s relations, ideals, linear transformation semi-groups, principle ideals

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Authors: Hossein Pourali

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In this paper, we extend the concepts of primal and weakly primal ideals for posets. Further, the diameter of the zero divisor graph of a poset with respect to a non-primal ideal is determined. The relation between primary and primal ideals in posets is also studied.

Keywords: ‎associated prime ideal, ‎‎ideal, ‎‎primary ideal, primal ideal‎, prime‎ ‎ideal, semiprime ideal, ‎weakly primal ideal, zero divisors graph

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Authors: Samrah Saeed

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Introduction: This study considers a measure of positive body image and the associations between body appreciation, beauty ideals internalization, dietary habits, and physical activity in young adults. Positive body image is assessed by Body Appreciation Scale 2. It is used to assess a person's acceptance of the body, the degree of positivity, and respect for the body.Regular physical activity and healthy eating arebasically important for the body, and they play an important role in creating a positive image of the body. Objectives: To identify the associations between body appreciation and beauty ideals internalization. To compare body appreciation and body ideals internalization among students of different physical activity. To explore the associations between dietary habits (unhealthy, healthy), body appreciation and body ideals internalization. Research methods and organization: Study participants were young adult students, aged 18-35, both male and female.The research questionnaire consisted of four areas: body appreciation, beauty ideals internalization, dietary habits, and physical activity.The questionnaire was created in Google Forms online survey platform.The questionnaire was filled out anonymously Result and Discussion: Physical dissatisfaction, diet, eating disorders and exercise disorders are found in young adults all over the world.Thorough nutrition helps people understand who they are by reassuring them that they are okay without judging or accepting themselves. Social media can positively influence body image in many ways.A healthy body image is important because it affect self-esteem, self-acceptance, and your attitude towards food and exercise.

Keywords: pysical activity, dietary habits, body image, beauty ideals internalization, body appreciation

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Authors: Rosy Joseph

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From an algebraic point of view, Semirings provide the most natural generalization of group theory and ring theory. In the absence of additive inverse in a semiring, one had to impose a weaker condition on the semiring, i.e., the additive cancellative law to study interesting structural properties. In many practical situations, fuzzy numbers are used to model imprecise observations derived from uncertain measurements or linguistic assessments. In this connection, a special class of fuzzy numbers whose shape is symmetric with respect to a vertical line called the symmetric fuzzy numbers i.e., for α ∈ (0, 1] the α − cuts will have a constant mid-point and the upper end of the interval will be a non-increasing function of α, the lower end will be the image of this function, is suitable. Based on this description, arithmetic operations and a ranking technique to order the symmetric fuzzy numbers were dealt with in detail. Wherein it was observed that the structure of the class of symmetric fuzzy numbers forms a commutative semigroup with cancellative property. Also, it forms a multiplicative monoid satisfying sub-distributive property.In this paper, we introduce the algebraic structure, sub-distributive semiring and discuss its various properties viz., ideals and prime ideals of sub-distributive semiring, sub-distributive ring of difference etc. in detail. Symmetric fuzzy numbers are visualized as an illustration.

Keywords: semirings, subdistributive ring of difference, subdistributive semiring, symmetric fuzzy numbers

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Authors: Jawad Abuhlail, Hamza Hroub

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Let R be a commutative ring. Representation theory studies the representation of R-modules as (possibly finite) sums of special types of R-submodules. Here we are interested in a class of R-modules between the class of semisimple R-modules and the class of R-modules that can be written as (possibly finite) sums of secondary R-submodules (we know that every simple R-submodule is secondary). We investigate R-modules which can be written as (possibly finite) sums of second R-submodules (we call those modules second representable). Moreover, we investigate the class of (main) second attached prime ideals related to a module with such representation. We provide sufficient conditions for an R-module M to get a (minimal) second representation. We also found the collection of second attached prime ideals for some types of second representable R-modules, in particular within the class of injective R-modules. As we know that every simple R-submodule is second and every second R-submodule is secondary, we can see the importance of the second representable R-module.

Keywords: lifting modules, second attached prime ideals, second representations, secondary representations, semisimple modules, second submodules

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Authors: Asha Gupta, Ramandeep Kaur

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The purpose of this paper is to study a class of closed sets, called generalized pre-closed sets with respect to an ideal (briefly Igp-closed sets), which is an extension of generalized pre-closed sets in general topology. Then, by using these sets, the concepts of Igp- compact spaces along with some classes of maps like continuous and closed maps via ideals have been introduced and analogues of some known results for compact spaces, continuous maps and closed maps in general topology have been obtained.

Keywords: ideal, gp-closed sets, gp-closed maps, gp-continuous maps

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Authors: Johannes Van Der Sandt

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This paper explores and reflects on the power of music, and more specific singing as an instrument for integration, inclusion, group cohesion, collective cooperation, repairing social relationships and facilitating dialogue between groups in conflict. The General Assembly of the United Nations has declared the 21st of September as International Day of Peace. This day is dedicated to advocate and strengthen among all people, an annual day to strive for no violence and cease-fire. What role does music play in strengthening ideals of peace? The findings of this paper is a result of field and online research as well as a literature survey to identify the most important examples of institutions, instruments or initiatives where music serves as a vehicle for the transmission and promoting of peace ideals and acting to assist movements for social change. Important examples where singing and music were used as tools for peace activism are the 1987 Estonian Singing Revolution and the more recent peace engagement in the Afghan Conflict, both very good examples of the cultural capital of the local population used as catalyst for promoting peace. The author offers a concise and relevant overview of such initiatives with the aim to validate the power of music and song as tools to support the United Nation’s Declaration on the Promotion Among Youth of the Ideals of Peace, Mutual Respect and Understanding Between Peoples: Young people should be educated and made aware of the ideals of peace. They should be educated in a spirit of mutual understanding and respect for one another in order to develop an attitude of striving for equal rights for all human beings, believing in economic and social growth for all, together with a belief in disarmament and working towards the maintenance of peace and security worldwide.

Keywords: conflict, music, peace, singing

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Authors: Inayatur Rehman

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Molodtstove developed the theory of soft sets which can be seen as an effective tool to deal with uncertainties. Since the introduction of this concept, the application of soft sets has been restricted to associative algebraic structures (groups, semi groups, associative rings, semi-rings etc.). Acceptably, though the study of soft sets, where the base set of parameters is a commutative structure, has attracted the attention of many researchers for more than one decade. But on the other hand there are many sets which are naturally endowed by two compatible binary operations forming a non-associative ring and we may dig out examples which investigate a non-associative structure in the context of soft sets. Thus it seems natural to apply the concept of soft sets to non-commutative and non-associative structures. In present paper, we make a new approach to apply Molodtsoves notion of soft sets to LA-ring (a class of non-associative ring). We extend the study of soft commutative rings from theoretical aspect.

Keywords: soft sets, LA-rings, soft LA-rings, soft ideals, soft prime ideals, idealistic soft LA-rings, LA-ring homomorphism

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Authors: Ana María Velasco Molpeceres

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With this work, we try to offer a complete digest of female fashion magazines edited in Spain from the XVIII century to today. During the XIX century Spain developed an important journalistic industry and the feminine press was very popular. In addition, a lot of women wrote and directed fashion magazines which tried to improve women’s status and education. In the XX century, fashion magazines reflected the ideological conflicts and the history of Spain. Before the Civil War (1936-1939), women get many rights and the modernization was clear. In the Franco’s dictatorship, fashion magazines portrayed ideals of a conservative femininity. But, in the sixties, the media helped to connect Spain with the rest of the world, being at the same time under the censorship of the regime. After the dictatorship, fashion was a very important part of the Transition’s culture and the ‘Movida’ (reflected in Almodovar’s films) contributed and expressed the new ideals of citizenship for men and women. Fashion magazines showed the changes of the society. In the XXI century, today, these magazines are a part of a global culture and Vogue or Elle live with Spanish magazines as Telva or Hola. The objective of this research is to study the history, meaning and evolution of the fashion magazines in Spain. And, of course, the ideal of women reflected on them.

Keywords: fashion, Spain, magazines, women

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Authors: Ram Dayal

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Since inception of the modern Olympic Games in 1896 in Athens, Greece, it has undergone a paradigm shift over a period of more than a century. It originated with the purpose of inculcating physical and moral qualities, sense of aesthetics, ethical and spiritual value and educating young people, through the spread of the philosophy of amateurism, which is free from the vices of racial discrimination, any country’s domination, corruption, doping menace and political interference. Now, it has metamorphosed into the arena where only professionalism matters and has been reduced to the show of strength for countries analogous to the cold war. Rather than spirit of sports, the economics of sports is the more relevant underpinning. Changes in medal tally over a period of time and its correlation with the changing geo-political structure have been evaluated quantitatively using regression analyses, which have yielded statistically significant relationship among variables. The present study also tries to explore this shift in Olympic spirit through historical approach, using books, thesis, dissertations, articles, related documents. The present study will help evaluate the Olympic ideals with modern perspective and the need to replace or reinstall the same in order to nurture and rejuvenate the modern Olympic movement.

Keywords: challenges, games, olympic, sports

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Authors: Haohao Wang

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The purpose of this paper is to find elimination ideals via Grobner basis. We first introduce the concept of Grobner bases, and then, we provide computational algorithms to applications for curves and surfaces.

Keywords: curves, surfaces, Grobner basis, elimination

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Authors: Katya E. Manalastas

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This thesis is a dialogue with Freud about vulnerability and any forms of transience we encounter in life. This study argues that Freud’s Ethics of Finitude, which is framed within the psychoanalytic context, is a critical theory about how human beings fail to become what they are because of their attachment to their illusions—to their visions of perfection and immortality. Freud’s Ethics of Finitude positions itself between our detachment to ideals and recognition of our own death through our loved one. His texts portray the predicament of the finite individual who suffers from feelings of guilt and anxiety because of his failure to live up to the demands of his idealistic civilized society. The civilized society has overestimated men’s susceptibility to culture. It imposes excessive sublimation, conformity to rigid moral ideals, and instinctive repression to manage human aggression. However, by doing this, civilization becomes a main source of men’s suffering. The lack of instinctive freedom will result in a community of tamed but unhappy people. Civilization has also constructed theories and measures to rule out death and pain from the realities of life. Therefore, a man lives his life repressing his instincts and ignorant of his own mortality. For Freud, war and neurosis are just few of the consequences of a civilization that imprisons the individual from cultural hypocrisy instead of giving more play to truthfulness. The occurrence of Great War destroyed our pride in the attainments of civilization and let loose the hostile impulses within us which we thought had been totally eradicated by means of instinctive repression and sublimation. War destroyed most of the things that we had loved and showed us the impermanence of all the things that we had deemed perfect and everlasting. This chaotic event also revealed the damaging impact of our attachment to past values that no longer bind us; our futile attempts to escape suffering; and our refusal to confront the painfulness of loss and mourning. With this given backdrop, this study launches Freud’s Ethics of Finitude—which culminates not in the submission of an individual to the unquestioned authority nor in the blind optimism and love for illusory happiness but in the pedagogy of mourning which brings forth the authentic education of man towards the truth about himself. His Ethics of Finitude is a form of labor in and through which the individual steps out of the realm of illusions and ideals that hinder him to confront his imperfections and accept the difficulties of existence. Through his analysis of the Great War, Freud seeks to awaken in us our ability to evaluate the way we see ourselves and to live our lives with death in mind. His Ethics of Finitude leads us to the fulfillment of our first duty as a living being, which is to endure life. We can only endure life if we are prepared to die and let go.

Keywords: critical theory, ethics of finitude, psychoanalysis, Sigmund Freud

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Authors: Alireza Gilani

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In this paper, we consider the fuzzification of implicative pseudo-ideal in a pseudo-BCK algebra, and then we investigate some of their properties. We prove that the family of fuzzy implicative pseudo-ideal is completely distributive lattice.

Keywords: BCK-algebra, pseudo-BCK algebra, pseudo-ideal, implicative pseudo-ideal

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Authors: Shaima A. Al Mansoori

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Eco-cities have become part of the broader and universal discourse and embrace of sustainable communities. Given the ideals and ‘potential’ benefits of eco-cities for people, the environment and prosperity, hardly can an argument be made against the desirability of eco-cities. Yet, this paper posits that it is necessary for urban scholars, technocrats and policy makers to engage in discussions of the pragmatism of implementing the ideals of eco-cities, for example, from the political, budgetary, cultural and other dimensions. In the context of such discourse, this paper examines the feasibility of one of the cardinal principles and goals of eco-cities, which is the reduction or elimination of pollution through various creative and innovative initiatives, in the UAE. This paper contends and argues that, laudable and desirable as this goal is, it is a polylemma and, therefore, overly ambitious and practically unattainable in the UAE. The paper uses the mixed method research strategy, in which data is sourced from secondary and general sources through desktop research, from public records in governmental agencies, and from the conceptual academic and professional literature. Information from these sources will be used, first, to define and review pollution as a concept and multifaceted phenomenon with multidimensional impacts. Second, the paper will use society’s five goal clusters as a framework to identify key causes and impacts of pollution in the UAE. Third, the paper will identify and analyze specific public policies, programs and projects that make pollution in the UAE a polylemma. Fourth, the paper will argue that the phenomenal rates of population increase, urbanization, economic growth, consumerism and development in the UAE make pollution an inevitable product and burden that society must live with. This ‘reality’ makes the goal and desire of pollution-free cities pursuable but unattainable. The paper will conclude by identifying and advocating creative and innovative initiatives that can be taken by the various stakeholders in the country to reduce and mitigate pollution in the short- and long-term.

Keywords: goal clusters, pollution, polylemma, sustainable communities

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Authors: Dorothy Chyung

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In the psychiatric interview, the mental status exam begins with an assessment of the patient's appearance, noting aspects such as grooming and hygiene. However, it is not well established whether further examination of a patient's attire can provide further useful information. The popular assumption is that those who are mentally unwell will manifest this in unusual clothing. In the moral treatment of the 19th century, proper clothing was also seen as a pivotal therapeutic concern. This project examines assumptions about clothing, both as a reflection of and treatment for psychopathology. The methodology considers the opinions expressed in 19th century art and journals, as well as asylum rules, in comparison to contemporary psychiatric practice and research evidence. Per moral treatment in the 19th century, self-discipline and a proper environment would cure insanity. Madness was evident in the opposite of these ideals—such as ragged or ‘improper’ clothing—and rules about attire delineated the most correct (i.e. sane) ways to dress. These rules applied not only for the patients but also for staff. Despite these ideals, accusations were made that asylums, in fact, dressed patients to look more mentally unwell and further removed patients’ agency. Current practice in psychiatric hospitals retains remnants of moral treatment. Patients are expected to dress ‘appropriately’ while retaining some choice to build self-esteem, with arguments about safety being used to justify the removal of choice. Meanwhile, staff is expected to dress professionally and as role models, based on the assumption that conservative dress is least pathological. Research on this subject is limited, and there is little evidence that discrete psychiatric diagnoses manifest in the particular dress, nor that conservative dress would result in a reduction in pathology. Dressing unusually has become a privilege granted only to those without association with mental illness.

Keywords: fashion, history of psychiatry, medical humanities, mental health treatment

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Authors: Mathew Hoyes

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This paper is a collation of data, studies and anecdotes on the way education is funded in New Zealand, the ideals which have lead to this method, as well as the issues it has created when combined with other factors and government policy on education over the last two decades. The purpose of this paper is to provide a historical perspective of this situation and to contribute to the global discussion of how to fund schools in an equitable manner, given that the world has become increasingly more globalised and the perception of widening gaps between the rich and the poor in the western world.

Keywords: education funding equity, egalitarianism, socio-economic, New Zealand colonialism

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Authors: Victor Abu

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Background: Social justice ideals are considered as the foundation of nursing practice. These ideals are not always clearly integrated into nursing professional standards or curricula. This hinders concerted global nursing agendas for becoming aware of social injustice or engaging in action for social justice to improve the health of individuals and groups. Aim and objectives: The aim was to create an educational framework for empowering nursing students for social justice awareness and action. This purpose was attained by understanding the meaning of social justice, the effect of social injustice, the visibility of social justice learning, and ways of integrating social justice in nursing education and practice. Methods: Critical interpretive methodologies and constructivist grounded theory research designs guided the processes of recruiting nursing students (n = 11) and nurse educators (n = 11) at a London nursing university to participate in interviews and focus groups, which were analysed by coding systems. Findings: Firstly, social justice was described as ethical practices that enable individuals and groups to have good access to health resources. Secondly, social injustice was understood as unfair practices that caused minimal access to resources, social deprivation, and poor health. Thirdly, social justice learning was considered to be invisible in nursing education due to a lack of explicit modules, educator knowledge, and organisational support. Lastly, explicit modules, educating educators, and attracting leaders’ support were suggested as approaches for the visible integration of social justice in nursing education and practice. Discussion: This research proposes approaches for nursing awareness and action for the development of critical active nurse-learner, critical conscious nurse-educator, and servant nurse leader. The framework on Awareness for Social Justice Action (ASJA) created in this research is an approach for empowering nursing students for social justice practices. Conclusion: This research contributes to and advocates for greater nursing scholarship to raise the spotlight on social justice in the profession.

Keywords: social justice, nursing practice, nursing education, nursing curriculum, social justice awareness, social justice action, constructivist grounded theory

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Authors: Ann Rousseau, Steven Eggermont

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The current study sought to explain pre-adolescents’ differential susceptibility to the internalization of mediated appearance ideals, using a three-wave panel survey of preadolescent girls and boys (N = 973, Mage = 11.14). Based on the premises of objectification theory and sexual script theory, we proposed a double role for pubertal timing and cross-sex interactions in preadolescents’ media internalization. More specifically, we expected pubertal timing and cross-sex interactions to (a) trigger higher levels of media internalization, directly and indirectly via body surveillance, and (b) positively moderate the relationship between objectifying media exposure and girls’ and boys’ media internalization. A first cross-lagged model tested whether the pubertal timing and cross-sex interactions could trigger preadolescents media internalization and body surveillance. Structural equation analysis indicated that pubertal timing (Wave1) positively predicted body surveillance and media internalization (both Wave3). Cross-sex involvement (Wave1) was positively linked to media internalization (Wave2), but body surveillance (Wave2) was not associated with cross-sex interactions. Results also showed a reciprocal interaction between media internalization (Wave 2 and 3) and body surveillance (Wave2 and 3). Multiple group analysis showed that the observed relationships did not vary by gender. A second moderated moderation model examined whether (a) the relationship between objectifying media exposure (television and magazines, both Wave1) and media internalization (Wave3) depended on pubertal timing (Wave1), and (b) the two-way interaction between objectifying media exposure (Wave1) and pubertal timing (Wave1) varied depending on cross-sex interactions (Wave1). Results revealed that cross-sex interactions functioned as a buffer against media internalization. For preadolescents who had fewer cross-sex interactions, early puberty (relative to peers) positively moderated the relationship between magazine exposure and the internalization of mediated appearance ideals. No significant relationships were found for television. Again, no gender difference could be observed. The present study suggests a double role for pubertal timing and cross-sex interactions in preadolescents media internalization, and indicate that early developers with few cross-sex experiences are particularly vulnerable for media internalization. Additionally, the current findings suggest that there is relative gender equity in magazines’ ability to cultivate media internalization among preadolescents.

Keywords: cross-sex interactions, media effects, objectification theory, pubertal timing

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Authors: Ipenyi Peter

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Discipline is an issue that tends to undermine the provision of quality education in tertiary institutions in Nigeria. This is because the overall goals of tertiary institutions, as enunciated in the National Policy of Education, can hardly be achieved by all the stakeholders without strict conformity and adherence to the rules and regulations and the ideals of the entire society. The adherence is essential for the general welfare of the society. This paper critically X-rayed the causes of indiscipline in tertiary institutions in Nigeria. Such courses include laxity in home control and parental supervision, school, teacher and societal factors as well as government influence. The paper recommended among others such strategies as enculturation, acculturation as well as the acquisition of a certain number of generic skills for dealing with discipline and ethical issues in tertiary institutions in Nigeria.

Keywords: discipline, education, tertiary institutions, society

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Authors: Shai Sarussi

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Let S be an integral domain which is not a field, let F be its field of fractions, and let A be an F-algebra. An S-subalgebra R of A is called S-nice if R ∩ F = S and F R = A. A topological space whose set of open sets is closed under arbitrary intersections is called an Alexandroff space. Inspired by the well-known Zariski-Riemann space and the Zariski topology on the set of prime ideals of a commutative ring, we define a topology on the set of all S-nice subalgebras of A. Consequently, we get an interplay between Algebra and topology, that gives us a better understanding of the S-nice subalgebras of A. It is shown that every irreducible subset of S-nice subalgebras of A has a supremum; and a characterization of the irreducible components is given, in terms of maximal S-nice subalgebras of A.

Keywords: Alexandroff topology, integral domains, Zariski-Riemann space, S-nice subalgebras

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Authors: Ingrid van der Heijden, Kristen Dunkle, Rachel Jewkes

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Background: Emerging literature on prevalence shows that men with disabilities are four more times likely than men without disabilities to experience sexual violence during their lifetime. However, compared to women with disabilities, men with disabilities still have lesser experiences of violence. While empirical evidence on the prevalence of victimization of men with disabilities is emerging, there is scarcer evidence highlighting disabled men’s perpetration of different forms of violence, particularly intimate partner violence. We can assume that men are likely to be both perpetrators and victims of violence, making more complex the causes and risks of violence. Gender norms and disability stigma play important roles in men’s experiences of violence. Men may be stigmatized because of their inability to attain hegemonic masculine ideals of strength, control over women and sexual conquest, which makes them more susceptible to emotional, physical and sexual abuse. Little to no evidence exists of men with disabilities’ experiences of perpetration of intimate partner violence, family violence or community violence. So far studies on male victimization do not succeed to offer contextual evidence that would highlight why and how men with disabilities perpetrate and/or are victims of sexual or other forms of violence. Objective: The overall aim to highlight men with disabilities’ experiences of both victimization and perpetration, and how living up to normative and hegemonic ideals of masculinity and ‘ability’ shape their experiences. It will include: identifying how gender and impairments intersect and shape their experiences of violence; identifying the contexts of and risks for violence; identifying the impacts and consequences of violence on their lives (including mental health impacts), and identifying obstacles and enablers to support and interventions to prevent violence. Methodology: In-depth qualitative interviews with 20 men with disabilities participating in interventions conducted by the What Works Global Programme for violence prevention (DIFD) in Africa and Asia. Men with a range of disabilities will be invited to share their lifetime experiences of violence. Implications for Practice: The data from this study will be used to start thinking about strategies to include men with disabilities in violence prevention strategies for both men and women. Limitations: Because men will be participating in interventions, it is assumed that they will not have severe impairments that hamper their cognitive or physical ability to participate in the intervention activities - and therefore will be able to participate in the in-depth interviews. Of course, this is a limitation of the study as it does not include those men with severe disabilities – measured by the World Health Organization’s International Classification of Functioning - who may be more vulnerable and at higher risk of experiencing violence, and who are less likely to be able to access services and interventions.

Keywords: gender, men with disabilities, perpetration of violence, victimization

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Authors: Domenica Bona

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Colin Chant and David Goodman argue that historians of Chinese pre-industrial cities tend to underestimate revolutions and overestimate cyclic patterns: periods of peace and prosperity in the earl part of each d nast , followed b peasants’ rebellions and upheavals. Boyd described these cyclic patterns as part of the background of Chinese town planning and architecture. Thus old ideals of city planning-square plan, southward orientation and a palace along the central axis - are revived again and again in the ascendant phases of several d nastic c cles (e.g. Chang’an, Kaifen, and Beijing). Along this line of thought, m paper questions the relationship between the “magic square rule” and modern Chinese urban- planning. As a matter of fact, the classical theme of “cosmic Taoist urbanism” is still a reference for planning cities and new urban developments, whenever there is the intention to express nationalist ideals and “cultural straightforwardness.” Besides, some case studies can be related to “modern d nasties”: the first Republic under the Kuo Min Tang, the red People’s Republic and the post-Maoist open country of Deng Xiao Ping. Considering the project for the new capital of Nanjing in the Thirties, Beijing’s Tianan Men area in the ifties, and Shenzhen’s utian CBD in late 20th century, I argue that cyclic patterns are still in place, though with deformations related to westernization, private interests and lack of spirituality. How far new Chinese cities are - or simply seem to be - westernized? Symbolism, invisible frameworks, repeating features and behavioural patterns make urban China just “superficiall” western. This can be well noticed in cities previousl occupied b foreigners, like Hong Kong, or in newly founded ones, like Shenzhen, where both Asians and non-Asian people can feel the gender-shift from New-York-like landscapes to something else. Current planning in main metropolitan areas shows a blurred relationship between public policies and private investments: two levels of decisions and actions, one addressing the larger scale and infrastructures, the other concerning the micro scale and development of single plots. While zoning is instrumental in this process, master plans are often laid out over a very poor cartography, so much that any relation between the formal characters of new cities and the centuries-old structure of the related territory gets lost.

Keywords: China, contemporary cities, cultural heritage, shenzhen, urban planning

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Authors: Kehinde Emmanuel Atanlusi

Abstract:

It is impossible to stifle the gust of social change as it makes its way through institutionalised hierarchies on its way to expressing itself. This advancement might also have repercussions for institutions, families, and politics, so modifying the norms and establishing new societal ideals. In the following paragraphs, it will explore how gender roles in the family have changed over time, how this has affected consumption, and how marketing has been influenced by these changes. It was decided to use the empirical research method, which led to several discoveries, one of which was that marketing in the pre-modern era was predicated on metanarratives and gender stereotypes. However, these aspects of marketing have undergone significant transformations in the post-modern era, which led to the formation of an assumption regarding what future marketing trends will be like. In spite of the fact that post-modern marketing methods have a number of drawbacks, it was suggested that these strategies be embraced and updated in the future in order to expand consumer bases and target audiences.

Keywords: Marketing, Gender Roles, Advertising, Decentralisation, Fragmentation

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Authors: Abdelkarim Boua, Abdelhakim Chillali

Abstract:

The study of non-associative structures in algebraic structures has become a separate entity; for, in the case of groups, their corresponding non-associative structure i.e. loops is dealt with separately. Similarly there is vast amount of research on the nonassociative structures of semigroups i.e. groupoids and that of rings i.e. nonassociative rings. However it is unfortunate that we do not have a parallel notions or study of non-associative near-rings. In this work we shall attempt to generalize a few known results and study the commutativity of Jordan ideal in 3-prime near-rings satisfying certain identities involving the Jordan ideal. We study the derivations satisfying certain differential identities on Jordan ideals of 3-prime near-rings. Moreover, we provide examples to show that hypothesis of our results are necessary. We give some new results and examples concerning the existence of Jordan ideal and derivations in near-rings. These near-rings can be used to build a new codes.

Keywords: 3-prime near-rings, near-rings, Jordan ideal, derivations

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Authors: James A. Bryant Jr

Abstract:

This article examines the far-reaching consequences of the mainstreaming of the Christian Dominionist philosophy on public schools all across the United States of America. Under the guise of “school choice,” and the ever-growing influence and legacy of its most vocal proponent, R.J. Rushdoony, the American right has declared an all-out war on public education, public schools, and the men and women who staff these institutions. For the purposes of this paper, the term “school choice” encompasses both the efforts to use public money to support private, religious education as well as the move to dramatically expand the number of children and youth who are home schooled. This article examines both the history and dangers of the homeschool movement and the vouchers-for-religious school's scheme, with particular attention to the philosophy and words of its most renowned advocate, the missionary Rousas John Rushdoony.

Keywords: history education, multicultural education, public education, Christian Dominionism

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Authors: Essam Abdelhamid Hegazy

Abstract:

This paper aims to read Margaret Atwood's The Penelopiad (2005) via a revisionist and deconstructive approach. This novel is a postmodernist exploration of the grand-narrative myth The Odyssey (800 BC) by Homer, who portrayed the heroic warrior and the faithful wife as the epitome of perfect male and female models _examples whom all must follow and mimic. In Atwood's narrative, the same two hero models are the two great tricksters who are willing to perform any sort of obnoxious act for achieving their goals. This research tries to examine how Atwood tried to synthesize the change in character’s narratives leading to the humanization of the perfect hero and the ideal wife. The researcher has used a multidisciplinary approach where the feminist, revisionist and deconstructive theories were implemented to identify and find out the new interpretations of the myths that center the experiences and perspectives of women. Research findings are that revisionist approach was applied through giving an opportunity to the victimized and the voiceless to speak out and retaliate against their prosecutions.

Keywords: margret atwood, patriarchal, penelopiad, revisionism

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Authors: Qiongzi Zheng, Lewis Cornwell, Neal Peres Da Costa

Abstract:

Drawn on Confucian and Taoist philosophy and long-established tradition of aesthetic ideals, the Art of the Chinese Zither (Xishan Qinkuang), a classic work by Chinese music scholar Xu Shangyin in 1643, distilled twenty-four practicing principles for the Chinese zither. This work has influenced the practice of guzheng to the present day. Whilst the principles were described in detail, how they can actually be achieved on a technical level remains to be explored. This study focuses on three key practicing principles: yuan (roundness), liu (fluidness), and su (swiftness), and examines how the playing techniques developed by Master Zhao Manqin contribute to the implementation of the principles. The study concludes that knowledge of the technicality of fingering positioning before and after plucking motion is critical to the realization of these principles.

Keywords: Chinese music aesthetics, practicing principles of the Chinese zither, guzheng playing techniques, Zhao Manqin’s fingering techniques, Xishan Qinkuang

Procedia PDF Downloads 140