{"title":"2-可见子模块和完全2-可见模块","authors":"Mahmood S. Fiadh, W. Hanoon","doi":"10.52866/ijcsm.2020.01.02.004","DOIUrl":null,"url":null,"abstract":"Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X. In this\npaper we introduce the concepts of 2-visible submodules and fully 2-visible modules as a generalizations of visible\nsubmodules and fully visible modules resp., where K is said to be 2-visible whenever K=I2 K for every nonzero\nideal I of T and AT -module X is called fully 2-visible if for any proper submodule of it is 2-visible.Study some of\nthe properties of these concepts also discuss the relationship 2-visible submodules and fully 2-visible modules with\n2-pure submoules and other related submodules and modules resp. are given","PeriodicalId":158721,"journal":{"name":"Iraqi Journal for Computer Science and Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"2-Visible Submodules and Fully 2-Visible Modules\",\"authors\":\"Mahmood S. Fiadh, W. Hanoon\",\"doi\":\"10.52866/ijcsm.2020.01.02.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X. In this\\npaper we introduce the concepts of 2-visible submodules and fully 2-visible modules as a generalizations of visible\\nsubmodules and fully visible modules resp., where K is said to be 2-visible whenever K=I2 K for every nonzero\\nideal I of T and AT -module X is called fully 2-visible if for any proper submodule of it is 2-visible.Study some of\\nthe properties of these concepts also discuss the relationship 2-visible submodules and fully 2-visible modules with\\n2-pure submoules and other related submodules and modules resp. are given\",\"PeriodicalId\":158721,\"journal\":{\"name\":\"Iraqi Journal for Computer Science and Mathematics\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iraqi Journal for Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52866/ijcsm.2020.01.02.004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iraqi Journal for Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52866/ijcsm.2020.01.02.004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X. In this
paper we introduce the concepts of 2-visible submodules and fully 2-visible modules as a generalizations of visible
submodules and fully visible modules resp., where K is said to be 2-visible whenever K=I2 K for every nonzero
ideal I of T and AT -module X is called fully 2-visible if for any proper submodule of it is 2-visible.Study some of
the properties of these concepts also discuss the relationship 2-visible submodules and fully 2-visible modules with
2-pure submoules and other related submodules and modules resp. are given