{"title":"模糊素数谱引起的残格网","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":"{\"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}","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}
The reticulation of residuated lattices induced by fuzzy prime spectrum
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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