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Original Articles

Residually Finite Varieties of Nonassociative Algebras

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Pages 3705-3727 | Received 13 Jan 2009, Published online: 24 Nov 2010
 

Abstract

We prove that if 𝒱 is a residually finite variety of nonassociative algebras over a finite field, and the enveloping algebra of each finite member of 𝒱 is finitely generated as a module over its center, then 𝒱 is generated by a single finite algebra.

2000 Mathematics Subject Classification:

Notes

Communicated by A. Olshanskii.

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