{"title":"Projection Invariant t-Baer and Related Modules","authors":"","doi":"10.1007/s11253-024-02276-0","DOIUrl":null,"url":null,"abstract":"<p>We study the concepts of projection invariant <em>t</em>-extending modules and projection invariant <em>t</em>-Baer modules, which are generalized to the notions of π-extending and <em>t</em>-Baer modules, respectively. Several structural properties are obtained and some applications are developed. It is shown that the π-<em>t</em>-extending modules and π-<em>t</em>-e. Baer modules are connected with each other. Moreover, we obtain a characterization for π-<em>t</em>-extending modules relative to the annihilator conditions.</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/s11253-024-02276-0","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 the concepts of projection invariant t-extending modules and projection invariant t-Baer modules, which are generalized to the notions of π-extending and t-Baer modules, respectively. Several structural properties are obtained and some applications are developed. It is shown that the π-t-extending modules and π-t-e. Baer modules are connected with each other. Moreover, we obtain a characterization for π-t-extending modules relative to the annihilator conditions.
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