{"title":"Graded weak comultiplication modules","authors":"R. Abu-Dawwas, M. Bataineh, Adeela Da'keek","doi":"10.14492/HOKMJ/1562810507","DOIUrl":null,"url":null,"abstract":"Let G be a group with identity e, R be a G-graded ring and M be a G-graded R-module. In this article, we introduce the concept of graded weak comultiplication modules. A graded R-module M is said to be graded weak comultiplication if for every graded prime R-submodule N of M , N = (0 :M I) for some graded ideal I of R. We study graded weak comultiplication modules and give several results.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hokkaido Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.14492/HOKMJ/1562810507","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
Let G be a group with identity e, R be a G-graded ring and M be a G-graded R-module. In this article, we introduce the concept of graded weak comultiplication modules. A graded R-module M is said to be graded weak comultiplication if for every graded prime R-submodule N of M , N = (0 :M I) for some graded ideal I of R. We study graded weak comultiplication modules and give several results.
期刊介绍：
The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
