{"title":"Τ-tilting Modules over Trivial Extensions","authors":"Zhi-wei Li, Xiaojin Zhang","doi":"10.1142/s0218196722500278","DOIUrl":null,"url":null,"abstract":"We study (support) [Formula: see text]-tilting modules over the trivial extensions of finite-dimensional algebras. More precisely, we construct two classes of (support)[Formula: see text]-tilting modules in terms of the adjoint functors which extend and generalize the results on (support) [Formula: see text]-tilting modules over triangular matrix rings given by Gao-Huang.","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"12 1","pages":"617-628"},"PeriodicalIF":0.0000,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Algebra Comput.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0218196722500278","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We study (support) [Formula: see text]-tilting modules over the trivial extensions of finite-dimensional algebras. More precisely, we construct two classes of (support)[Formula: see text]-tilting modules in terms of the adjoint functors which extend and generalize the results on (support) [Formula: see text]-tilting modules over triangular matrix rings given by Gao-Huang.
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