群拟群型部分作用的伽罗瓦对应

IF 0.4 4区数学 Q4 MATHEMATICS

Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-08-02 DOI:10.36045/j.bbms.210807

Dirceu Bagio, Alveri Sant’Ana, Thaísa Tamusiunas

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引用次数: 5

摘要

设G为有限群仿，且α = (Sg， α G) G∈G, G是交换环S =⊕y∈G0Sy上G群型的一元偏作用。我们证明了G的一类宽子群与s的一类子群之间的伽罗瓦对应关系。我们恢复了已知的关于全局群作用的结果，并给出了几个例子来说明这种对应关系。

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Galois correspondence for group-type partial actions of groupoids

Let G be a finite groupoid and α = (Sg, αg)g∈G a unital partial action of group-type of G on a commutative ring S = ⊕y∈G0Sy. We shall 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.

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来源期刊

Bulletin of the Belgian Mathematical Society-Simon Stevin 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Bulletin of the Belgian Mathematical Society - Simon Stevin (BBMS) is a peer-reviewed journal devoted to recent developments in all areas in pure and applied mathematics. It is published as one yearly volume, containing five issues. The main focus lies on high level original research papers. They should aim to a broader mathematical audience in the sense that a well-written introduction is attractive to mathematicians outside the circle of experts in the subject, bringing motivation, background information, history and philosophy. The content has to be substantial enough: short one-small-result papers will not be taken into account in general, unless there are some particular arguments motivating publication, like an original point of view, a new short proof of a famous result etc. The BBMS also publishes expository papers that bring the state of the art of a current mainstream topic in mathematics. Here it is even more important that at leat a substantial part of the paper is accessible to a broader audience of mathematicians. The BBMS publishes papers in English, Dutch, French and German. All papers should have an abstract in English.