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

Proceedings of the YSU, 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

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

UDC: 512.57

Received: 26.05.2005
Accepted: 29.07.2005



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