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Residually Finite Varieties of Nonassociative Algebras

Authors :
Young Jo Kwak
Keith A. Kearnes
Source :
Communications in Algebra. 38:3705-3727
Publication Year :
2010
Publisher :
Informa UK Limited, 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.

Details

ISSN :
15324125 and 00927872
Volume :
38
Database :
OpenAIRE
Journal :
Communications in Algebra
Accession number :
edsair.doi...........a59edff73b8bf27c7eebe7d17a8c2cf1