N. Rafi, Y. Monikarchana, R. Bandaru, Aiyared Iampan
{"title":"On Prime E-ideals of Almost Distributive Lattices","authors":"N. Rafi, Y. Monikarchana, R. Bandaru, Aiyared Iampan","doi":"10.28924/2291-8639-21-2023-85","DOIUrl":null,"url":null,"abstract":"In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL. Finally, topological investigations are performed on prime E-ideals and minimal prime E-ideals.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-21-2023-85","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL. Finally, topological investigations are performed on prime E-ideals and minimal prime E-ideals.
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