On the nilindex of the radical of a relatively free associative algebra

被引：5

作者：

Samoilov, L. M. ^{[1
]}

机构：

[1] Ulyanovsk State Univ, Ulyanovsk, Russia

来源：

MATHEMATICAL NOTES | 2007年 / 82卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

nit ideal; relatively free associali; e algebra; nilindex; radical; trace identity; basis for trace iderilities; Cayley-Hunzillon identily;

D O I：

10.1134/S0001434607090283

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, it is proved that the radical of a relatively free associative algebra of Countable rank over an infinite field of characteristic p > 0 is a nil ideal of bounded index if the complexity of the corresponding variety is less than p. Moreover, a description of a basis for trace identities for the matrix algebra M-n, over an infinite field of characteristic p > 0, n < p, is obtained in the paper.

引用

页码：522 / 530

页数：9

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