{"title":"ABELIAN CATEGORY OF COARTINIAN MODULES","authors":"Yen Do Ngoc, Cam Bui Thi Hong","doi":"10.51453/2354-1431/2023/1027","DOIUrl":null,"url":null,"abstract":"In this paper, we show that the category of $I$-coartinian modules forms an Abelian subcategory of the category of all $R$-modules provided that $\\mathrm{ara}(I) = 1.$","PeriodicalId":158754,"journal":{"name":"SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY","volume":"13 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51453/2354-1431/2023/1027","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we show that the category of $I$-coartinian modules forms an Abelian subcategory of the category of all $R$-modules provided that $\mathrm{ara}(I) = 1.$
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