{"title":"Τ-tilting通过简单扩展的模块","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":"{\"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}","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}
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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