Embedding finite lattices into finite biatomic lattices
| dc.creator | Wehrung, Friedrich | |
| dc.creator | Adaricheva, Kira | |
| dc.date | 2005-01-22 | |
| dc.date.accessioned | 2026-07-07T05:16:16Z | |
| dc.date.available | 2026-07-07T05:16:16Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0501364 | |
| dc.identifier | http://arxiv.org/abs/math/0501364 | |
| dc.identifier | Order 20, no. 1 (2003) 31--48 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73922 | |
| dc.subject | General Mathematics | |
| dc.subject | Primary 06B99, 05B25, 51E99. Secondary: 51E30, 51D20, 05C20 | |
| dc.title | Embedding finite lattices into finite biatomic lattices | |
| dc.type | text |