{"title":"关于模的直觉l -模糊集","authors":"P. K. Sharma","doi":"10.7546/nifs.2023.29.1.65-73","DOIUrl":null,"url":null,"abstract":"In this paper we try to study the intuitionistic 𝐿-fuzzy aspects of socle of modules over rings. We demonstrate some properties of a socle of intuitionistic 𝐿-fuzzy submodules and their relations with intuitionistic 𝐿-fuzzy essential submodules and a family of intuitionistic 𝐿-fuzzy complemented submodules of a module. Some related results are also established.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On intuitionistic L-fuzzy socle of modules\",\"authors\":\"P. K. Sharma\",\"doi\":\"10.7546/nifs.2023.29.1.65-73\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we try to study the intuitionistic 𝐿-fuzzy aspects of socle of modules over rings. We demonstrate some properties of a socle of intuitionistic 𝐿-fuzzy submodules and their relations with intuitionistic 𝐿-fuzzy essential submodules and a family of intuitionistic 𝐿-fuzzy complemented submodules of a module. Some related results are also established.\",\"PeriodicalId\":433687,\"journal\":{\"name\":\"Notes on Intuitionistic Fuzzy Sets\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notes on Intuitionistic Fuzzy Sets\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/nifs.2023.29.1.65-73\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Intuitionistic Fuzzy Sets","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nifs.2023.29.1.65-73","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we try to study the intuitionistic 𝐿-fuzzy aspects of socle of modules over rings. We demonstrate some properties of a socle of intuitionistic 𝐿-fuzzy submodules and their relations with intuitionistic 𝐿-fuzzy essential submodules and a family of intuitionistic 𝐿-fuzzy complemented submodules of a module. Some related results are also established.