{"title":"$\\Gamma$-半群的自治域与z形定理","authors":"W. Ashraf, S. A. Ahangar, A. Salam, N. M. Khan","doi":"10.30495/JME.V15I0.1248","DOIUrl":null,"url":null,"abstract":"Dominions have been studied from different perspectives however their major application lies to study the closure property for monoids. The most useful characterization of semigroup domonions is provided by the famous Isbell’s Zigzag Theorem. In this paper, we introduce the dominion of a $\\Gamma$-semigroups and give the analogue of Isbell's zigzag theorem in $\\Gamma$-semigroups.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dominions and Zigzag theorem for $\\\\Gamma$-semigroups\",\"authors\":\"W. Ashraf, S. A. Ahangar, A. Salam, N. M. Khan\",\"doi\":\"10.30495/JME.V15I0.1248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Dominions have been studied from different perspectives however their major application lies to study the closure property for monoids. The most useful characterization of semigroup domonions is provided by the famous Isbell’s Zigzag Theorem. In this paper, we introduce the dominion of a $\\\\Gamma$-semigroups and give the analogue of Isbell's zigzag theorem in $\\\\Gamma$-semigroups.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-04-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V15I0.1248\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V15I0.1248","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Dominions and Zigzag theorem for $\Gamma$-semigroups
Dominions have been studied from different perspectives however their major application lies to study the closure property for monoids. The most useful characterization of semigroup domonions is provided by the famous Isbell’s Zigzag Theorem. In this paper, we introduce the dominion of a $\Gamma$-semigroups and give the analogue of Isbell's zigzag theorem in $\Gamma$-semigroups.
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