Embedding coproducts of partition lattices
| dc.creator | Wehrung, Friedrich | |
| dc.date | 2007-09-27 | |
| dc.date | 2007-10-15 | |
| dc.date.accessioned | 2026-07-07T08:35:53Z | |
| dc.date.available | 2026-07-07T08:35:53Z | |
| dc.description | We prove that the lattice Eq(X) of all equivalence relations on an infinite set X contains, as a 0,1-sublattice, the 0-coproduct of two copies of itself, thus answering a question by G.M. Bergman. Hence, by using methods initiated by de Bruijn and further developed by Bergman, we obtain that Eq(X) also contains, as a sublattice, the coproduct of 2^{card(X)} copies of itself. | |
| dc.description | To appear in Acta Sci. Math. (Szeged) | |
| dc.identifier | https://arxiv.org/abs/0709.4469 | |
| dc.identifier | http://arxiv.org/abs/0709.4469 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139891 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 06B15 (Primary); 06B10, 06B25 (Secondary) | |
| dc.title | Embedding coproducts of partition lattices | |
| dc.type | text |