FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 2, PAGES 453-468

Commutation factors and varieties of associative algebras

A. A. Zolotykh

Abstract

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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.

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