{"title":"局部bl -代数上的余代数的模态表示","authors":"C.T. Nganteu, M. Kianpi, O. Amassayoga","doi":"10.52547/hatef.jahla.2.4.5","DOIUrl":null,"url":null,"abstract":"We consider the category Coalg( ∏ ) of ∏ -coalgebras where ∏ is the endofunctor on the category of local BL-algebras and BL-morphisms which assigns to each local BL-algebra its quotient by its unique maximal filter and we characterize homomorphisms and subcoalgebras in Coalg( ∏ ) . Moreover, we introduce local BL-frames based on local BL-algebras, and show that the category of local BL-frames is isomorphic to Coalg( ∏ ). Article Information Corresponding Author: C. Nganteu; Received: October 2021; Revised: November 2021; Accepted: December 2021; Paper type: Original.","PeriodicalId":223827,"journal":{"name":"Journal of Algebraic Hyperstructures and Logical Algebras","volume":"120 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modal representation of coalgebras over local BL-algebras\",\"authors\":\"C.T. Nganteu, M. Kianpi, O. Amassayoga\",\"doi\":\"10.52547/hatef.jahla.2.4.5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the category Coalg( ∏ ) of ∏ -coalgebras where ∏ is the endofunctor on the category of local BL-algebras and BL-morphisms which assigns to each local BL-algebra its quotient by its unique maximal filter and we characterize homomorphisms and subcoalgebras in Coalg( ∏ ) . Moreover, we introduce local BL-frames based on local BL-algebras, and show that the category of local BL-frames is isomorphic to Coalg( ∏ ). Article Information Corresponding Author: C. Nganteu; Received: October 2021; Revised: November 2021; Accepted: December 2021; Paper type: Original.\",\"PeriodicalId\":223827,\"journal\":{\"name\":\"Journal of Algebraic Hyperstructures and Logical Algebras\",\"volume\":\"120 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebraic Hyperstructures and Logical Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52547/hatef.jahla.2.4.5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebraic Hyperstructures and Logical Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52547/hatef.jahla.2.4.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modal representation of coalgebras over local BL-algebras
We consider the category Coalg( ∏ ) of ∏ -coalgebras where ∏ is the endofunctor on the category of local BL-algebras and BL-morphisms which assigns to each local BL-algebra its quotient by its unique maximal filter and we characterize homomorphisms and subcoalgebras in Coalg( ∏ ) . Moreover, we introduce local BL-frames based on local BL-algebras, and show that the category of local BL-frames is isomorphic to Coalg( ∏ ). Article Information Corresponding Author: C. Nganteu; Received: October 2021; Revised: November 2021; Accepted: December 2021; Paper type: Original.
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