{"title":"ARMENDARIZ MODULES AND NILTORSIONLESS MODULES","authors":"KH HERA SINGH, A. M. Buhphang, M. B. Rege","doi":"10.59277/mrar.2023.25.75.2.319","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the concepts niltorsionless modules and NSmodules (which are generalisations of NI-rings). We prove that the class of niltorsionless modules contains the classes of semiprime and in particular, the class of regular modules. We","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"75 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Reports","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.59277/mrar.2023.25.75.2.319","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this paper, we introduce the concepts niltorsionless modules and NSmodules (which are generalisations of NI-rings). We prove that the class of niltorsionless modules contains the classes of semiprime and in particular, the class of regular modules. We
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The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500.
Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.
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