{"title":"关于分级2-吸收共初级模","authors":"M. Bataineh, R. Abu-Dawwas","doi":"10.35834/2022/3402174","DOIUrl":null,"url":null,"abstract":"The aim of this article is to introduce the concept of graded 2absorbing coprimary submodules as a generalization of graded strongly 2-absorbing second submodules, and explore some properties of this class. A non-zero graded R-submodule N of a graded R-moduleM is called a graded 2-absorbing coprimary R-submodule if whenever x, y are homogeneous elements of R and K is a graded R-submodule of M such that xyN ⊆ K, then either x or y is in the graded radical of (K :R N) or xy ∈ AnnR(N). Several results have been achieved.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON GRADED 2-ABSORBING COPRIMARY SUBMODULES\",\"authors\":\"M. Bataineh, R. Abu-Dawwas\",\"doi\":\"10.35834/2022/3402174\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this article is to introduce the concept of graded 2absorbing coprimary submodules as a generalization of graded strongly 2-absorbing second submodules, and explore some properties of this class. A non-zero graded R-submodule N of a graded R-moduleM is called a graded 2-absorbing coprimary R-submodule if whenever x, y are homogeneous elements of R and K is a graded R-submodule of M such that xyN ⊆ K, then either x or y is in the graded radical of (K :R N) or xy ∈ AnnR(N). Several results have been achieved.\",\"PeriodicalId\":42784,\"journal\":{\"name\":\"Missouri Journal of Mathematical Sciences\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Missouri Journal of Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35834/2022/3402174\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Missouri Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35834/2022/3402174","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
The aim of this article is to introduce the concept of graded 2absorbing coprimary submodules as a generalization of graded strongly 2-absorbing second submodules, and explore some properties of this class. A non-zero graded R-submodule N of a graded R-moduleM is called a graded 2-absorbing coprimary R-submodule if whenever x, y are homogeneous elements of R and K is a graded R-submodule of M such that xyN ⊆ K, then either x or y is in the graded radical of (K :R N) or xy ∈ AnnR(N). Several results have been achieved.
期刊介绍：
Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.
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