{"title":"Z-Essential Submodules","authors":"M. K. Abbas, Yahya Talebi, Inaam M. Ali Hadi","doi":"10.24996/ijs.2024.65.3.28","DOIUrl":null,"url":null,"abstract":" We define and investigate Z- essential submodules as a generalization of essential submodules. Various characterizations and properties of Z-essential submodules are given. Moreover we introduce the concepts of Z-singular submodule and Z-closed submodules.","PeriodicalId":14698,"journal":{"name":"Iraqi Journal of Science","volume":"26 9","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iraqi Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24996/ijs.2024.65.3.28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Earth and Planetary Sciences","Score":null,"Total":0}
引用次数: 0
Abstract
We define and investigate Z- essential submodules as a generalization of essential submodules. Various characterizations and properties of Z-essential submodules are given. Moreover we introduce the concepts of Z-singular submodule and Z-closed submodules.