{"title":"半群中的杂交内理想","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":"{\"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}","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}
. 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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