Embedding finite lattices into finite biatomic lattices
| dc.contributor.author | Adaricheva, Kira | |
| dc.contributor.author | Wehrung, Freidrich | |
| dc.date.accessioned | 2016-02-09T10:40:24Z | |
| dc.date.available | 2016-02-09T10:40:24Z | |
| dc.date.issued | 2005 | |
| dc.description.abstract | For 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 lattices | ru_RU |
| dc.identifier.citation | Adaricheva Kira, Wehrung Freidrich; 2005; Embedding finite lattices into finite biatomic lattices; arXiv.org | ru_RU |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/1219 | |
| dc.language.iso | en | ru_RU |
| dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
| dc.subject | Research Subject Categories::MATHEMATICS | ru_RU |
| dc.subject | embedding finite lattices | ru_RU |
| dc.title | Embedding finite lattices into finite biatomic lattices | ru_RU |
| dc.type | Article | ru_RU |