{"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}
引用次数: 0
Abstract
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.