{"title":"用同余论正规代数的商代数","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":"{\"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}","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}
On quotient algebras of normal eo-algebras by congruences
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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