Embedding finite lattices into finite biatomic lattices

dc.contributor.authorAdaricheva, Kira
dc.contributor.authorWehrung, Freidrich
dc.date.accessioned2016-02-09T10:40:24Z
dc.date.available2016-02-09T10:40:24Z
dc.date.issued2005
dc.description.abstractFor a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C. We provide answers to the question above for C being, respectively, — The class of all finite lattices; — The class of all finite lower bounded lattices (solved by the first author’s earlier work). — The class of all finite join-semidistributive lattices (this problem was, until now, open). We solve the latter problem by finding a quasi-identity valid in all finite, atomistic, biatomic, join-semidistributive lattices but not in all finite join-semidistributive latticesru_RU
dc.identifier.citationAdaricheva Kira, Wehrung Freidrich; 2005; Embedding finite lattices into finite biatomic lattices; arXiv.orgru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/1219
dc.language.isoenru_RU
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectResearch Subject Categories::MATHEMATICSru_RU
dc.subjectembedding finite latticesru_RU
dc.titleEmbedding finite lattices into finite biatomic latticesru_RU
dc.typeArticleru_RU

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