{"title":"论Γ-Ring上的直觉模糊结构空间","authors":"P. K. Sharma, Hem Lata, Nitin Bharadwa","doi":"10.37193/cmi.2022.02.07","DOIUrl":null,"url":null,"abstract":"In this research article, we investigate and study the intuitionistic fuzzy structure space of a $\\Gamma$-ring $M$ set up by the class of intuitionistic fuzzy prime ideals of $M$ called the intuitionistic fuzzy prime spectrum of $\\Gamma$-ring. Apart from studying basic properties of this structure space, we explore separation axioms, compactness, irreducibility and connectedness in this structure space.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"24 2","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Intuitionistic Fuzzy Structure Space On Γ-Ring\",\"authors\":\"P. K. Sharma, Hem Lata, Nitin Bharadwa\",\"doi\":\"10.37193/cmi.2022.02.07\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this research article, we investigate and study the intuitionistic fuzzy structure space of a $\\\\Gamma$-ring $M$ set up by the class of intuitionistic fuzzy prime ideals of $M$ called the intuitionistic fuzzy prime spectrum of $\\\\Gamma$-ring. Apart from studying basic properties of this structure space, we explore separation axioms, compactness, irreducibility and connectedness in this structure space.\",\"PeriodicalId\":112946,\"journal\":{\"name\":\"Creative Mathematics and Informatics\",\"volume\":\"24 2\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Creative Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37193/cmi.2022.02.07\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Creative Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37193/cmi.2022.02.07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this research article, we investigate and study the intuitionistic fuzzy structure space of a $\Gamma$-ring $M$ set up by the class of intuitionistic fuzzy prime ideals of $M$ called the intuitionistic fuzzy prime spectrum of $\Gamma$-ring. Apart from studying basic properties of this structure space, we explore separation axioms, compactness, irreducibility and connectedness in this structure space.
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