{"title":"On the Nilpotency of Some Modules Over Group Rings","authors":"","doi":"10.1007/s11253-024-02279-x","DOIUrl":null,"url":null,"abstract":"<p>We study <em>RG</em>-modules that do not contain nonzero <em>G</em>-perfect factors. In particular, it is shown that if a group <em>G</em> is finite and <em>R</em> is a Dedekind domain with some additional restrictions, then these <em>RG</em>-modules are <em>G</em>-nilpotent.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11253-024-02279-x","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
We study RG-modules that do not contain nonzero G-perfect factors. In particular, it is shown that if a group G is finite and R is a Dedekind domain with some additional restrictions, then these RG-modules are G-nilpotent.
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