{"title":"相对于固定mv链的mv代数半简单性的两个概念","authors":"C. Lélé, J. B. Nganou, Jean M. Wagoum","doi":"10.1080/11663081.2022.2123674","DOIUrl":null,"url":null,"abstract":"We initiate a study of two general concepts of semisimplicity for MV-algebras by replacing the standard MV-algebra with an arbitrary MV-chain . These generalised notions are called -semisimple MV-algebras and -semisimple MV-algebras. We obtain several of their characterisations and explore in more-depth the case of perfect MV-chains.","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":"47 1","pages":"187 - 199"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two notions of MV-algebraic semisimplicity relative to fixed MV-chains\",\"authors\":\"C. Lélé, J. B. Nganou, Jean M. Wagoum\",\"doi\":\"10.1080/11663081.2022.2123674\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We initiate a study of two general concepts of semisimplicity for MV-algebras by replacing the standard MV-algebra with an arbitrary MV-chain . These generalised notions are called -semisimple MV-algebras and -semisimple MV-algebras. We obtain several of their characterisations and explore in more-depth the case of perfect MV-chains.\",\"PeriodicalId\":38573,\"journal\":{\"name\":\"Journal of Applied Non-Classical Logics\",\"volume\":\"47 1\",\"pages\":\"187 - 199\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Non-Classical Logics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/11663081.2022.2123674\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Non-Classical Logics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/11663081.2022.2123674","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
Two notions of MV-algebraic semisimplicity relative to fixed MV-chains
We initiate a study of two general concepts of semisimplicity for MV-algebras by replacing the standard MV-algebra with an arbitrary MV-chain . These generalised notions are called -semisimple MV-algebras and -semisimple MV-algebras. We obtain several of their characterisations and explore in more-depth the case of perfect MV-chains.