{"title":"Completions in Subvarieties of BL-Algebras","authors":"M. Busaniche, L. Cabrer","doi":"10.1109/ISMVL.2010.24","DOIUrl":null,"url":null,"abstract":"In the present paper we extend the results of \\cite{BuCa} by completely characterizing dual canonical subvarieties of BL-algebras. These are subvarieties of algebras that satisfy the equation $x^k=x^{k+1}$ for some integer $k\\ge 1$. As a corollary we get a full description of subvarieties of BL-algebras that admit completions.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 40th IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2010.24","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In the present paper we extend the results of \cite{BuCa} by completely characterizing dual canonical subvarieties of BL-algebras. These are subvarieties of algebras that satisfy the equation $x^k=x^{k+1}$ for some integer $k\ge 1$. As a corollary we get a full description of subvarieties of BL-algebras that admit completions.