On some extremal varieties of associative algebras

被引：1

作者：

Kireeva, EA ^{[1
]}

Krasil'nikov, AN

机构：

[1] Moscow State Pedag Univ, Moscow 119435, Russia

[2] Univ Brasilia, BR-70910900 Brasilia, DF, Brazil

来源：

MATHEMATICAL NOTES | 2005年 / 78卷 / 3-4期

关键词：

variety of associative algebras; T-space; free algebra of countable rank; T-ideal; finitely based variety; Specht problem;

D O I：

10.1007/s11006-005-0150-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that F is a field of prime characteristic p and V-p is the variety of associative algebras over F defined by the identities [[x, y], z] 0 and x(p) = 0 if p > 2 and by the identities [[x, y], z] = 0 and x 4 = 0 if p = 2 (here [x, y] xy - yx). As is known, the free algebras of countable rank of the varieties V-p contain non-finitely generated T-spaces. We prove that the varieties V-p are minimal with respect to this property.

引用

页码：503 / 517

页数：15

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