{"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":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"8 1","pages":""},"PeriodicalIF":0.7000,"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\":49533,\"journal\":{\"name\":\"Siberian Mathematical Journal\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siberian Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0037446624030029\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624030029","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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.
期刊介绍：
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.
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