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Varieties satisfying semigroup identities: Algebras over a finite field and rings

Olga B. Finogenova

Institute of Mathematics and Computer Science, Ural Federal University, Lenina 51, Ekaterinburg, 620000, Russia

https://doi.org/10.1142/S0218196716500417Cited by:0 (Source: Crossref)

Abstract

We study varieties of associative algebras over a finite field and varieties of associative rings satisfying semigroup or adjoint semigroup identities. We characterize these varieties in terms of “forbidden algebras” and discuss some corollaries of the characterizations.

Communicated by M. Volkov

Keywords:

AMSC: 16R40, 16R10

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