QUASI-BOOLEAN POWER OF ALGEBRAS AND IDEMPOTENT ALGEBRAS

M.A. Yolchyan

doi:10.46991/PYSU:A/2019.53.3.170

QUASI-BOOLEAN POWER OF ALGEBRAS AND IDEMPOTENT ALGEBRAS

Authors

M.A. Yolchyan Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2019.53.3.170

Keywords:

quasi-boolean power, idempotent algebra, complete lattice, bihomomorphism, commutative algebra, algebra with transitive commutativity property

Abstract

In this paper we provide a necessity condition for embedding of the binary algebra into the quasi-boolean power of a rectangular algebra. It is also proved that every idempotent and hyperassociative algebra via the weak bihomomorphism maps in an idempotent and commutative algebra.

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Published

2019-12-16

How to Cite

Yolchyan, M. (2019). QUASI-BOOLEAN POWER OF ALGEBRAS AND IDEMPOTENT ALGEBRAS. Proceedings of the YSU A: Physical and Mathematical Sciences, 53(3 (250), 170–176. https://doi.org/10.46991/PYSU:A/2019.53.3.170