{"title":"关于\\ -几乎拟人工模","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":"{\"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}","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}
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.