This article is cited in 9 papers

Commutation factors and varieties of associative algebras

A. A. Zolotykh

M. V. Lomonosov Moscow State University

Abstract: A description of all pairwise nonequivalent nondegenerate commutation factors on finite Abelian groups is given. For each such commutation factor over a field of characteristic zero the variety of associative algebras which is generated by the algebra of $\varepsilon$-commutative polynomials is found.

UDC: 512.552.4

Received: 01.04.1996

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