A-identities for the 2 x 2 matrix algebra

被引：0

作者：

Goncalves, Dimas Jose ^{[1
]}

Schutzer, Waldeck ^{[1
]}

Talpo, Humberto Luiz ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Math, BR-13565905 Sao Carlos, SP, Brazil

来源：

ARCHIV DER MATHEMATIK | 2016年 / 106卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

PI-algebras; Noncommutative rings; Matrix rings;

D O I：

10.1007/s00013-016-0882-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an algebraically closed field of characteristic zero. We prove that the minimum degree for A-identities of M-2(K) is 6. We also construct an explicit A-polynomial of degree 6 and prove it is an A-identity.

引用

页码：417 / 429

页数：13

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