{"title":"On hybrid interior ideals in semigroups","authors":"K. Porselvi, B. Elavarasan","doi":"10.15393/j3.art.2019.6150","DOIUrl":null,"url":null,"abstract":". In this paper, we introduce the notion of hybrid interior ideals and hybrid characteristic interior ideals of a semigroup. We obtain some equivalent conditions for a hybrid structure to be a hybrid interior ideal of a semigroup. Also, we show that hybrid interior ideals and hybrid ideals coincide for a regular semigroup and a intra-regular semigroup.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"17 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Problemy Analiza-Issues of Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15393/j3.art.2019.6150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 10
Abstract
. In this paper, we introduce the notion of hybrid interior ideals and hybrid characteristic interior ideals of a semigroup. We obtain some equivalent conditions for a hybrid structure to be a hybrid interior ideal of a semigroup. Also, we show that hybrid interior ideals and hybrid ideals coincide for a regular semigroup and a intra-regular semigroup.
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