Unsolvable one-dimensional lifting problems for congruence lattices of lattices
| dc.creator | Tuma, Jiri | |
| dc.creator | Wehrung, Friedrich | |
| dc.date | 2005-01-22 | |
| dc.date.accessioned | 2026-07-07T05:16:17Z | |
| dc.date.available | 2026-07-07T05:16:17Z | |
| dc.description | Let S be a distributive {∨, 0}-semilattice. In a previous paper, the second author proved the following result: Suppose that S is a lattice. Let K be a lattice, let $ϕ$: Con K $\to$ S be a {∨, 0}-homomorphism. Then $ϕ$ is, up to isomorphism, of the form Conc f, for a lattice L and a lattice homomorphism f : K $\to$ L. In the statement above, Conc K denotes as usual the {∨, 0}-semilattice of all finitely generated congruences of K. We prove here that this statement characterizes S being a lattice. | |
| dc.identifier | https://arxiv.org/abs/math/0501377 | |
| dc.identifier | http://arxiv.org/abs/math/0501377 | |
| dc.identifier | Forum Mathematicum 14, no. 4 (2002) 483--493 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73931 | |
| dc.subject | General Mathematics | |
| dc.subject | 06B10, 06E05 | |
| dc.title | Unsolvable one-dimensional lifting problems for congruence lattices of lattices | |
| dc.type | text |