{"title":"ON \\alpha-ALMOST QUASI ARTINIAN MODULES","authors":"M. Davoudian","doi":"10.24330/IEJA.586913","DOIUrl":null,"url":null,"abstract":"In this article we introduce and study the concepts of \\alpha-almost quasi Artinian and \\alpha -quasi Krull modules. Using these concepts we extend some of the basic results of \\alpha -almost Artinian and \\alpha -Krull modules to \\alpha - almost quasi Artinian and \\alpha -quasi Krull modules. We observe that if M is an \\alpha -quasi Krull module then the quasi Krull dimension of M is either \\alpha or \\alpha +1.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2019-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24330/IEJA.586913","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article we introduce and study the concepts of \alpha-almost quasi Artinian and \alpha -quasi Krull modules. Using these concepts we extend some of the basic results of \alpha -almost Artinian and \alpha -Krull modules to \alpha - almost quasi Artinian and \alpha -quasi Krull modules. We observe that if M is an \alpha -quasi Krull module then the quasi Krull dimension of M is either \alpha or \alpha +1.
期刊介绍：
The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.
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