Lie, Jordan and proper codimensions of associative algebras

被引：2

作者：

Giambruno A. ^{[1
]}

Zaicev M. ^{[2
]}

机构：

[1] Dipartimento di Matematica e Applicazioni, Università di Palermo, 90123 Palermo

[2] Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University

来源：

Rendiconti del Circolo Matematico di Palermo | 2008年 / 57卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

Codimensions; Exponential growth; Polynomial identity;

D O I：

10.1007/s12215-008-0010-y

中图分类号：

学科分类号：

摘要：

We study the exponential rate of growth of the sequence of proper, Lie and Jordan codimensions of an associative algebra. We show that for any finite dimensional associative algebra, the exponential rates of growth can be explicitly computed and are strictly related to the PI-exponent of the algebra. © 2008 Springer-Verlag Italia.

引用

页码：161 / 171

页数：10

共 22 条

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