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.
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页码：50 / 64
页数：15
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