Commenced in January 2007
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How are Equalities Defined, Strong or Weak on a Multiple Algebra?

Authors: Mona Taheri

Abstract:

For the purpose of finding the quotient structure of multiple algebras such as groups, Abelian groups and rings, we will state concepts of ( strong or weak ) equalities on multiple algebras, which will lead us to research on how ( strong or weak) are equalities defined on a multiple algebra over the quotients obtained from it. In order to find a quotient structure of multiple algebras such as groups, Abelian groups and loops, a part of this article has been allocated to the concepts of equalities (strong and weak) of the defined multiple functions on multiple algebras. This leads us to do research on how defined equalities (strong and weak) are made in the multiple algebra on its resulted quotient.

Keywords: Multiple algebra, mathematics, universal algebra.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334964

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References:


[1] H. E Pikett, "Homomorphisms and subalgebras of multialgebras", Pacific J. Math., 21 327- 342, 1967.
[2] G , Gratzer , "A representation theorem for multialgebras" , Arch. Math., 3 452-456, 1962.
[3] G , Gratzer , "Universal algebra", Second edition, Springer -Verlag 1979.
[4] P Corsini, V . Leoreanu , "Applications of hyperstructure theory", Advanced in Mathematics, Kluwer Academics publisherse 2003 .