Lattices of quasi-equational theories as congruence lattices of semilattices with operators, part I

dc.contributor.authorAdaricheva, Kira
dc.contributor.authorNation, J. B.
dc.contributor.institutionSchool of Sciences and Humanities
dc.date.accessioned2016-02-09T08:19:14Z
dc.date.available2016-02-09T08:19:14Z
dc.date.issued2012
dc.description.abstractWe show that for every quasivariety K of structures (where both functions and relations are allowed) 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). As a consequence, new restrictions on the natural quasi-interior operator on lattices of quasi-equational theories are found.
dc.identifier.citationAdaricheva, K., & Nation, J. B. (2012). Lattices of quasi-equational theories as congruence lattices of semilattices with operators: part I. International Journal of Algebra and Computation, 22(07), 1250065.
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/1206
dc.language.isoen
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States
dc.subjectMathematics
dc.subjectlattices of quasi-equational theories
dc.titleLattices of quasi-equational theories as congruence lattices of semilattices with operators, part I
dc.typeArticle

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