Regev's Conjecture and Codimensions of PI Algebras

被引：4

作者：

Gordienko, Alexei S. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119899, Russia

来源：

ACTA APPLICANDAE MATHEMATICAE | 2009年 / 108卷 / 01期

关键词：

Polynomial identities; Codimensions; Cocharacters; Regev's conjecture; PI algebras; PI exponent; Commutator; Proper polynomial; Associative algebras; Clifford algebras; Grassmann envelope; MATRICES; IDENTITIES; GROWTH;

D O I：

10.1007/s10440-008-9365-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the periodicity of the proper cocharacters and show that Regev's conjecture holds in unitary algebras of P.I. exponent 2. Also we discuss the asymptotic behaviour of the codimensions and cocharacters of Clifford algebras and deal with other important examples of P.I. algebras.

引用

页码：33 / 55

页数：23

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