Abstract
A variety of algebras is called distinguished if there is a countably generated, locally finite algebra such that any other countably generated locally finite algebra is a homomorphic image of . This article continues the investigation of the question of when a variety of associative algebras is distinguished.For example, if the ground field is uncountable, then every distinguished variety is nonmatric. Note that nonmatric varieties over an algebraically closed field are always distinguished and, over a field of characteristic zero, a nonmatric variety is distinguished if and only if , where is the algebraic closure of .Bibliography: 16 titles.
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