LINEAR REPRESENTATION OF BINARY ABELIAN ALGEBRAS

S. S. Davidov

doi:10.46991/PYSU:A/2005.39.3.058

LINEAR REPRESENTATION OF BINARY ABELIAN ALGEBRAS

Authors

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

DOI:

https://doi.org/10.46991/PYSU:A/2005.39.3.058

Keywords:

binary Аbelian algebras, monoid, endomorphism, commutative monoid

Abstract

In the present paper binary Аbelian algebras are studied by bringing them to known algebraic structures such as monoids. We have found conditions when binary Аbelian algebra has a linear representation, i.e. every operation of Аbelian algebra can be expressed by operation and endomorphisms of commutative monoid.

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Published

2005-10-20

How to Cite

Davidov, S. S. (2005). LINEAR REPRESENTATION OF BINARY ABELIAN ALGEBRAS. Proceedings of the YSU A: Physical and Mathematical Sciences, 39(3 (208), 58–63. https://doi.org/10.46991/PYSU:A/2005.39.3.058