Critical points of pairs of varieties of algebras
| dc.creator | Gillibert, Pierre | |
| dc.date | 2008-10-14 | |
| dc.date.accessioned | 2026-07-07T12:48:52Z | |
| dc.date.available | 2026-07-07T12:48:52Z | |
| dc.description | For a class V of algebras, denote by Conc(V) the class of all semilattices isomorphic to the semilattice Conc(A) of all compact congruences of A, for some A in V. For classes V1 and V2 of algebras, we denote by crit(V1,V2) the smallest cardinality of a semilattice in Conc(V1) which is not in Conc(V2) if it exists, infinity otherwise. We prove a general theorem, with categorical flavor, that implies that for all finitely generated congruence-distributive varieties V1 and V2, crit(V1,V2) is either finite, or aleph_n for some natural number n, or infinity. We also find two finitely generated modular lattice varieties V1 and V2 such that crit(V1,V2)=aleph_1, thus answering a question by J. Tuma and F. Wehrung. | |
| dc.identifier | https://arxiv.org/abs/0810.2492 | |
| dc.identifier | http://arxiv.org/abs/0810.2492 | |
| dc.identifier | International Journal of Algebra and Computation 19, 1 (2009) Page 1-40 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222207 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 08A30 (Primary), 06B20, 08B25, 08B26 (Secondary) | |
| dc.title | Critical points of pairs of varieties of algebras | |
| dc.type | text |