论文标题

非社交代数的非马atrix品种

Nonmatrix varieties of nonassociative algebras

论文作者

Shestakov, I. P., Bittencourt, V. S.

论文摘要

如果在给定场上不包含2 x 2矩阵的代数,则多种联想代数称为非玛蒂尔。 V.N.Latyshev引入并研究了非马atrix品种与SpecHT问题有关。在本文[10]中获得了非马trix品种的一些特征。在给定的论文中,非矩阵品种的概念扩展了非缔合代数,并且[10]的表征是替代,约旦和其他一些代数的替代品。

A variety of associative algebras is called nonmatrix if it does not contain the algebra of 2 x 2 matrices over the given field. Nonmatrix varieties were introduced and studied by V.N.Latyshev in relation with the Specht problem. Some characterizations of nonmatrix varieties were obtained in the paper [10]. In the given paper the notion of nonmatrix variety is extended for nonassociative algebras, and the characterization from [10] is generalized for alternative, Jordan, and some other varieties of algebras.

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