Galois correspondence for group-type partial actions of groupoids

被引：5

作者：

Bagio, Dirceu ^{[1
]}

St Ana, Alveri ^{[2
]}

Tamusiunas, Thaisa ^{[2
]}

机构：

[1] Univ Fed Santa Maria, Dept Matemat, BR-97105900 Santa Maria, RS, Brazil

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

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2022年 / 28卷 / 05期

关键词：

Groupoid; Group-type partial action; Galois theory;

D O I：

10.36045/j.bbms.210807

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite groupoid and alpha = (Sg , alpha g)g is an element of G a unital partial action of group-type of G on a commutative ring S = circle plus y is an element of G0Sy. We prove a Galois correspondence between a class of wide subgroupoids of G and a class of subrings of S. We recover known results for global groupoid actions and we give several examples to illustrate the correspondence.

引用

页码：745 / 767

页数：23

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