群拟群型部分作用的伽罗瓦对应

Pub Date : 2021-08-02 DOI:10.36045/j.bbms.210807

Dirceu Bagio, Alveri Sant’Ana, Thaísa Tamusiunas

{"title":"群拟群型部分作用的伽罗瓦对应","authors":"Dirceu Bagio, Alveri Sant’Ana, Thaísa Tamusiunas","doi":"10.36045/j.bbms.210807","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Galois correspondence for group-type partial actions of groupoids\",\"authors\":\"Dirceu Bagio, Alveri Sant’Ana, Thaísa Tamusiunas\",\"doi\":\"10.36045/j.bbms.210807\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-08-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.36045/j.bbms.210807\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.36045/j.bbms.210807","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助