{"title":"Extensions of uniserial modules","authors":"G. D'este, Fatma Kaynarca, D. K. Tütüncü","doi":"10.4171/rsmup/57","DOIUrl":null,"url":null,"abstract":"Let R be any ring and let 0 → A → B → C → 0 be an exact sequence of R-modules which does not split with A and C uniserial. Then either B is indecomposable or B has a decomposition of the form B = B1 ⊕ B2 where B1 and B2 are indecomposable and at least one of them is uniserial. Mathematics Subject Classification (2010).Primary: 16D10; Secondary: 16G20.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"8 1","pages":"73-86"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Rendiconti del Seminario Matematico della Università di Padova","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/rsmup/57","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Let R be any ring and let 0 → A → B → C → 0 be an exact sequence of R-modules which does not split with A and C uniserial. Then either B is indecomposable or B has a decomposition of the form B = B1 ⊕ B2 where B1 and B2 are indecomposable and at least one of them is uniserial. Mathematics Subject Classification (2010).Primary: 16D10; Secondary: 16G20.
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