Groupoid gradings: A Morita context, semiprimality, and a Bergman-type question

被引：3

作者：

Flores, Daiana ^{[1
]}

Morgado, Andrea ^{[2
]}

Paques, Antonio ^{[3
]}

机构：

[1] Univ Fed Santa Maria, Dept Matemat, Santa Maria, RS, Brazil

[2] Univ Fed Pelotas, Dept Matemat & Estat, Inst Fis & Matemat, Campus Capao Leao, Pelotas, RS, Brazil

[3] Univ Fed Rio Grande do Sul, Inst Matemat & Estat, BR-91509900 Porto Alegre, RS, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 09期

关键词：

Bergman's question; groupoid action; Groupoid grading; Morita context; semiprimality; smash product;

D O I：

10.1080/00927872.2019.1567745

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we are interested in some natural consequences arising from the canonical duality relation between the concepts of groupoid grading and groupoid action. Any algebra A over a field K graded by a finite groupoid has a canonical structure of a module algebra over the dual algebra of the groupoid algebra . The results here presented concern to the multiplicative structure of the smash product algebra and its representations. An application is the affirmative answer to a Bergmann-type question for groupoid gradings.

引用

页码：3500 / 3519

页数：20

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