Mohammed Baqer Hashim Al-Hakeem, Nuhad Salim Al-Mothafar
{"title":"半本质素模","authors":"Mohammed Baqer Hashim Al-Hakeem, Nuhad Salim Al-Mothafar","doi":"10.47974/jdmsc-1631","DOIUrl":null,"url":null,"abstract":"Let R be a commutative ring with 1 and M be a (left) unitary R – module. This essay gives generalizations for the notions prime module and some concepts related to it. We termed an R – module M as semi-essentially prime if annR (M) = annR (N) for every non-zero semi-essential submodules N of M. Given some of their advantages characterizations and examples, and we study the relation between these and some classes of modules.","PeriodicalId":193977,"journal":{"name":"Journal of Discrete Mathematical Sciences and Cryptography","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Semi-essentially prime modules\",\"authors\":\"Mohammed Baqer Hashim Al-Hakeem, Nuhad Salim Al-Mothafar\",\"doi\":\"10.47974/jdmsc-1631\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let R be a commutative ring with 1 and M be a (left) unitary R – module. This essay gives generalizations for the notions prime module and some concepts related to it. We termed an R – module M as semi-essentially prime if annR (M) = annR (N) for every non-zero semi-essential submodules N of M. Given some of their advantages characterizations and examples, and we study the relation between these and some classes of modules.\",\"PeriodicalId\":193977,\"journal\":{\"name\":\"Journal of Discrete Mathematical Sciences and Cryptography\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Discrete Mathematical Sciences and Cryptography\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47974/jdmsc-1631\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Discrete Mathematical Sciences and Cryptography","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47974/jdmsc-1631","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Let R be a commutative ring with 1 and M be a (left) unitary R – module. This essay gives generalizations for the notions prime module and some concepts related to it. We termed an R – module M as semi-essentially prime if annR (M) = annR (N) for every non-zero semi-essential submodules N of M. Given some of their advantages characterizations and examples, and we study the relation between these and some classes of modules.
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