Asymptotics for the multiplicities in the cocharacters of some PI-algebras

被引：6

作者：

Benanti, F

Giambruno, A

Sviridova, I

机构：

[1] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy

[2] Ulyanovsk State Univ, Fac Math & Mech, Dept Algebra & Geometr Computat, Ulyanovsk 4327000, Russia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 03期

关键词：

polynomial identities; multiplicities; codimensions; growth;

D O I：

10.1090/S0002-9939-03-07093-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider associative PI-algebras over a field of characteristic zero. We study the asymptotic behavior of the sequence of multiplicities of the cocharacters for some significant classes of algebras. We also give a characterization of finitely generated algebras for which this behavior is linear or quadratic.

引用

页码：669 / 679

页数：11

共 27 条

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