S. S. Davidov, “Linear representation of binary Abelian algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 2005, no. 3, 58

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2005, Issue 3, Pages 58–63 (Mi uzeru445)

Mathematics

Linear representation of binary Abelian algebras

S. S. Davidov

Chair of Algebra and Geometry YSU, Armenia

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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.

Received: 26.05.2005
Accepted: 29.07.2005

Document Type: Article

UDC: 512.57

Language: Russian

Citation: S. S. Davidov, “Linear representation of binary Abelian algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 2005, no. 3, 58–63

Citation in format AMSBIB

\Bibitem{Dav05}

\by S.~S.~Davidov

\paper Linear representation of binary Abelian algebras

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2005

\issue 3

\pages 58--63

\mathnet{http://mi.mathnet.ru/uzeru445}

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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Abstract page:	55
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References:	17

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