{"title":"On quotient algebras of normal eo-algebras by congruences","authors":"M. Kawaguchi, M. Kondo","doi":"10.1109/ISMVL57333.2023.00032","DOIUrl":null,"url":null,"abstract":"We consider some properties of quotient algebras of normal eo-algebras by closed congruences and show that (i) there is a one to one correspondence between the set of all closed filters and the set of all closed congruences, (ii) every normal eo-algebra X is isomorphic to a subdirect product of normal eo-algebras {X/Pa}a∈X, where Pa is a maximal element of closed filters not containing a∈X.","PeriodicalId":419220,"journal":{"name":"2023 IEEE 53rd International Symposium on Multiple-Valued Logic (ISMVL)","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 IEEE 53rd International Symposium on Multiple-Valued Logic (ISMVL)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL57333.2023.00032","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider some properties of quotient algebras of normal eo-algebras by closed congruences and show that (i) there is a one to one correspondence between the set of all closed filters and the set of all closed congruences, (ii) every normal eo-algebra X is isomorphic to a subdirect product of normal eo-algebras {X/Pa}a∈X, where Pa is a maximal element of closed filters not containing a∈X.
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