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
收藏
页码：417 / 429
页数：13
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