{"title":"w -可见子模块和w -完全可见模块","authors":"Mahmood S. Fiadh, B. N. Shihab, Munther H. Abed","doi":"10.52866/ijcsm.2019.01.01.005","DOIUrl":null,"url":null,"abstract":"In this paper, we presented a special type of submodule named W-visible submodule, which is weaker\nthan the visible submodule, where a proper submodule W of a T-module X is said to be W-visible if W = IW for some\nnon-zero proper ideal I of T. Also, we presented the concept of W-fully visible module, where a module X over a\nring T is said to be W-fully visible if any proper submodule of X is W-visible submodule. This concept is considered\nweaker than the concept of fully visible module. In this study, we achieved numerous results and characteristics that\nbelong to this concept","PeriodicalId":158721,"journal":{"name":"Iraqi Journal for Computer Science and Mathematics","volume":"146 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"W-visible submodules and W-fully visible modules\",\"authors\":\"Mahmood S. Fiadh, B. N. Shihab, Munther H. Abed\",\"doi\":\"10.52866/ijcsm.2019.01.01.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we presented a special type of submodule named W-visible submodule, which is weaker\\nthan the visible submodule, where a proper submodule W of a T-module X is said to be W-visible if W = IW for some\\nnon-zero proper ideal I of T. Also, we presented the concept of W-fully visible module, where a module X over a\\nring T is said to be W-fully visible if any proper submodule of X is W-visible submodule. This concept is considered\\nweaker than the concept of fully visible module. In this study, we achieved numerous results and characteristics that\\nbelong to this concept\",\"PeriodicalId\":158721,\"journal\":{\"name\":\"Iraqi Journal for Computer Science and Mathematics\",\"volume\":\"146 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-30\",\"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.2019.01.01.005\",\"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.2019.01.01.005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we presented a special type of submodule named W-visible submodule, which is weaker
than the visible submodule, where a proper submodule W of a T-module X is said to be W-visible if W = IW for some
non-zero proper ideal I of T. Also, we presented the concept of W-fully visible module, where a module X over a
ring T is said to be W-fully visible if any proper submodule of X is W-visible submodule. This concept is considered
weaker than the concept of fully visible module. In this study, we achieved numerous results and characteristics that
belong to this concept