Graded polynomial identities on upper block triangular matrix algebras

被引：12

作者：

Di Vincenzo, Onofrio Mario ^{[1
]}

Spinelli, Ernesto ^{[2
]}

机构：

[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, I-85100 Potenza, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

JOURNAL OF ALGEBRA | 2014年 / 415卷

关键词：

Graded algebras; Graded polynomial identities; Upper block triangular matrix algebras; GRADINGS;

D O I：

10.1016/j.jalgebra.2014.06.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an arbitrary abelian group. In the present paper we study the question of whether G-graded upper block triangular matrix algebras over a field of characteristic zero are determined, up to G-graded isomorphism, by their G-graded polynomial identities. We obtain some results for an elementary grading and, as a consequence, for any grading over an algebraically closed field. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：50 / 64

页数：15

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