Lattices of quasi-equational theories as congruence lattices of semilattices with operators, part I
Date
2012
Authors
Adaricheva, Kira
Nation, J. B.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We 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.
Description
Keywords
Research Subject Categories::MATHEMATICS, lattices of quasi-equational theories
Citation
Adaricheva Kira, Nation J.B.; 2012; Lattices of quasi-equational theories as congruence lattices of semilattices with operators, part I; arXiv.org