{"title":"n-submodules","authors":"M. Ahmadi, J. Moghaderi","doi":"10.52547/ijmsi.17.1.177","DOIUrl":null,"url":null,"abstract":". Let R be a commutative ring with identity. A proper submodule N of an R -module M is an n-submodule if rm ∈ N ( r ∈ R,m ∈ M ) with r / ∈ (cid:112) Ann R ( M ), then m ∈ N . A number of results concerning n-submodules are given. For example, we give other characterizations of n-submodules. Also various properties of n-submodules are considered.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"n-submodules\",\"authors\":\"M. Ahmadi, J. Moghaderi\",\"doi\":\"10.52547/ijmsi.17.1.177\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Let R be a commutative ring with identity. A proper submodule N of an R -module M is an n-submodule if rm ∈ N ( r ∈ R,m ∈ M ) with r / ∈ (cid:112) Ann R ( M ), then m ∈ N . A number of results concerning n-submodules are given. For example, we give other characterizations of n-submodules. Also various properties of n-submodules are considered.\",\"PeriodicalId\":43670,\"journal\":{\"name\":\"Iranian Journal of Mathematical Sciences and Informatics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Mathematical Sciences and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52547/ijmsi.17.1.177\",\"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":"Iranian Journal of Mathematical Sciences and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52547/ijmsi.17.1.177","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
． 让我们和身份一起成为一个交流的圈子。A非常之submodule N R -module M是一个n-submodule如果罗∈N (R∈R, M∈)和R / R∈(cid: 112)安(),然后M∈N。许多常见的协奏曲都被给予了。例如，我们提供其他形式的n子模块。n-子模的各种性质也被考虑在内。
. Let R be a commutative ring with identity. A proper submodule N of an R -module M is an n-submodule if rm ∈ N ( r ∈ R,m ∈ M ) with r / ∈ (cid:112) Ann R ( M ), then m ∈ N . A number of results concerning n-submodules are given. For example, we give other characterizations of n-submodules. Also various properties of n-submodules are considered.
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