Group gradings on finite dimensional incidence algebras

JOURNAL OF ALGEBRA

卷:544

Article

Santulo Jr, Ednei A.¹  Souza, Jonathan P.¹  Yasumura, Felipe Y.¹ 

[1] Univ Estadual Maringa, Dept Math, 5790 Colombo Ave, BR-87020900 Maringa, Parana, Brazil

关键词: Group gradings;    Incidence algebras;    Associative algebras;   

DOI  :  10.1016/j.jalgebra.2019.10.026

来源: Elsevier

【 摘 要 】

In this work, we classify the group gradings on finite-dimensional incidence algebras over a field, where the field has characteristic zero, or the characteristic is greater than the dimension of the algebra, or the grading group is abelian. Moreover, we investigate the structure of G-graded (D-1, D-2)bimodules, where G is an abelian group, and D-1 and D-2 are the group algebra of finite subgroups of G. As a consequence, we can provide a more profound structure result concerning the group gradings on the incidence algebras, and we can classify their isomorphism classes of group gradings. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free