Lattices of quasi-equational theories as congruence lattices of semilattices with operators, part I
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Date
2012
Authors
Adaricheva, Kira
Nation, J. B.
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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.
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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