{"title":"准变量 $ {\\mathbf{S}}{\\mathbf{P}}(L_{6}) $ . II: 对偶性结果","authors":"A. O. Basheyeva, M. V. Schwidefsky","doi":"10.1134/s0037446624030029","DOIUrl":null,"url":null,"abstract":"<p>We prove that the category of the complete bi-algebraic (0, 1)-lattices\nbelonging\nto the quasivariety generated by a certain finite lattice with complete\nlattice homomorphisms, considered as a concrete category, is dually\nequivalent to\nthe category of certain spaces with an additional structure.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Quasivariety $ {\\\\mathbf{S}}{\\\\mathbf{P}}(L_{6}) $ . II: A Duality Result\",\"authors\":\"A. O. Basheyeva, M. V. Schwidefsky\",\"doi\":\"10.1134/s0037446624030029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We prove that the category of the complete bi-algebraic (0, 1)-lattices\\nbelonging\\nto the quasivariety generated by a certain finite lattice with complete\\nlattice homomorphisms, considered as a concrete category, is dually\\nequivalent to\\nthe category of certain spaces with an additional structure.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0037446624030029\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624030029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Quasivariety $ {\mathbf{S}}{\mathbf{P}}(L_{6}) $ . II: A Duality Result
We prove that the category of the complete bi-algebraic (0, 1)-lattices
belonging
to the quasivariety generated by a certain finite lattice with complete
lattice homomorphisms, considered as a concrete category, is dually
equivalent to
the category of certain spaces with an additional structure.
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