On codimension growth of finitely generated associative algebras

被引：168

作者：

Giambruno, A ^{[1
]}

Zaicev, M

机构：

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

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

来源：

ADVANCES IN MATHEMATICS | 1998年 / 140卷 / 02期

关键词：

D O I：

10.1006/aima.1998.1766

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a PI-algebra over a field F. We study the asymptotic behavior of the sequence of codimensions c(n)(A) of A. We show that if A is finitely generated over F then Inv (A)=lim(n-->infinity) n root c(n)(A) always exists and is an integer. We also obtain the following characterization of simple algebras: A is finite dimensional central simple over F if and only if Inv(A) = dim A. (C) 1998 Academic Press.

引用

页码：145 / 155

页数：11

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