Gorenstein投影$\tau$-倾斜模的一个构造

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2021-09-24 DOI:10.4064/cm8682-1-2022

Zhi-wei Li, Xiaojin Zhang

{"title":"Gorenstein投影$\\tau$-倾斜模的一个构造","authors":"Zhi-wei Li, Xiaojin Zhang","doi":"10.4064/cm8682-1-2022","DOIUrl":null,"url":null,"abstract":"We give a construction of Gorenstein projective τ -tilting modules in terms of tensor products of modules. As a consequence, we give a class of non-self-injective algebras admitting non-trivial Gorenstein projective τ -tilting modules. Moreover, we show that a finite dimensional algebra Λ over an algebraically closed field is CM -τ -tilting finite if Tn(Λ) is CM -τ -tilting finite which gives a partial answer to a question on CM -τ -tilting finite algebras posed by Xie and Zhang.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A construction of Gorenstein projective $\\\\tau $-tilting modules\",\"authors\":\"Zhi-wei Li, Xiaojin Zhang\",\"doi\":\"10.4064/cm8682-1-2022\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a construction of Gorenstein projective τ -tilting modules in terms of tensor products of modules. As a consequence, we give a class of non-self-injective algebras admitting non-trivial Gorenstein projective τ -tilting modules. Moreover, we show that a finite dimensional algebra Λ over an algebraically closed field is CM -τ -tilting finite if Tn(Λ) is CM -τ -tilting finite which gives a partial answer to a question on CM -τ -tilting finite algebras posed by Xie and Zhang.\",\"PeriodicalId\":49216,\"journal\":{\"name\":\"Colloquium Mathematicum\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-09-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Colloquium Mathematicum\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4064/cm8682-1-2022\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Colloquium Mathematicum","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/cm8682-1-2022","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们用模的张量积给出了Gorenstein投影τ-倾斜模的一个构造。因此，我们给出了一类允许非平凡Gorenstein投影τ-倾斜模的非自内射代数。此外，我们证明了代数闭域上的有限维代数∧是CM-τ-倾斜有限的，如果Tn（∧）是CM-τ-倾转有限的，这给出了谢和张提出的关于CM-τ倾斜有限代数的一个问题的部分答案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A construction of Gorenstein projective $\tau $-tilting modules

We give a construction of Gorenstein projective τ -tilting modules in terms of tensor products of modules. As a consequence, we give a class of non-self-injective algebras admitting non-trivial Gorenstein projective τ -tilting modules. Moreover, we show that a finite dimensional algebra Λ over an algebraically closed field is CM -τ -tilting finite if Tn(Λ) is CM -τ -tilting finite which gives a partial answer to a question on CM -τ -tilting finite algebras posed by Xie and Zhang.

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

来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.