Lattices of quasi-equational theories as congruence lattices of semilattices with operators, part II
| dc.contributor.author | Adaricheva, Kira | |
| dc.contributor.author | Nation, J.B. | |
| dc.date.accessioned | 2016-02-09T08:26:23Z | |
| dc.date.available | 2016-02-09T08:26:23Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Part I proved that for every quasivariety K of structures (which may have both operations and relations) there is a semilattice S with operators such that the lattice of quasi-equational theories of K (the dual of the lattice of sub-quasivarieties of K) is isomorphic to Con(S;+; 0; F). It is known that if S is a join semilattice with 0 (and no operators), then there is a quasivariety Q such that the lattice of theories of Q is isomorphic to Con(S;+; 0). We prove that if S is a semilattice having both 0 and 1 with a group G of operators acting on S, and each operator in G xes both 0 and 1, then there is a quasivariety W such that the lattice of theories of W is isomorphic to Con(S;+; 0; G). | ru_RU |
| dc.identifier.citation | Adaricheva Kira, Nation J. B.; 2012; Lattices of quasi-equational theories as congruence lattices of semilattices with operators, part II; arXiv.org | ru_RU |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/1207 | |
| 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 | lattices of quasi-equational theories | ru_RU |
| dc.title | Lattices of quasi-equational theories as congruence lattices of semilattices with operators, part II | ru_RU |
| dc.type | Article | ru_RU |