COMMUTATIVE ABELIAN ALGEBRAS

S. S. Davidov

doi:10.46991/PYSU:A/2007.41.3.044

COMMUTATIVE ABELIAN ALGEBRAS

Authors

S. S. Davidov Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2007.41.3.044

Keywords:

commutative Abelian binary algebras, algebra of semiterms, hyperidentity

Abstract

In the present paper commutative Abelian binary algebras are studied by applying the construction of the algebra of semiterms. We have found the necessary condition when any hyperidentity (i.e. $\forall(\forall)$-identity) is satisfied in all Abelian commutative binary algebras.

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Published

2007-10-12

How to Cite

Davidov, S. S. (2007). COMMUTATIVE ABELIAN ALGEBRAS. Proceedings of the YSU A: Physical and Mathematical Sciences, 41(3 (214), 44–51. https://doi.org/10.46991/PYSU:A/2007.41.3.044