{"title":"The reticulation of residuated lattices induced by fuzzy prime spectrum","authors":"S. Ghorbani","doi":"10.7862/RF.2012.2","DOIUrl":null,"url":null,"abstract":"In this paper, we use the fuzzy prime spectrum to de- ne the reticulation ( L(A); ) of a residuated lattice A. We obtain some related results. In particular, we show that the lattices of fuzzy lters of a residuated lattice A and L(A) are isomorphic and the fuzzy prime spectrum of A and L(A) are homomorphic topological space.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2012.2","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
In this paper, we use the fuzzy prime spectrum to de- ne the reticulation ( L(A); ) of a residuated lattice A. We obtain some related results. In particular, we show that the lattices of fuzzy lters of a residuated lattice A and L(A) are isomorphic and the fuzzy prime spectrum of A and L(A) are homomorphic topological space.
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