@article{(Open Science Index):https://publications.waset.org/pdf/10002719, title = {Characterization of Monoids by a Generalization of Flatness Property}, author = {Mahdiyeh Abbasi and Akbar Golchin}, country = {}, institution = {}, abstract = {It is well-known that, using principal weak flatness property, some important monoids are characterized, such as regular monoids, left almost regular monoids, and so on. In this article, we define a generalization of principal weak flatness called GP-Flatness, and will characterize monoids by this property of their right (Rees factor) acts. Also we investigate new classes of monoids called generally regular monoids and generally left almost regular monoids.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {9}, number = {10}, year = {2015}, pages = {623 - 626}, ee = {https://publications.waset.org/pdf/10002719}, url = {https://publications.waset.org/vol/106}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 106, 2015}, }