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Distributive Lattices with a Dual Endomorphism

Mathematical Logic Quarterly, 1985
An Ockham algebra is a bounded lattice L on which there is defined a \(\{\) 0,1\(\}\)-exchanging dual endomorphism f. The author considers here distributive Ockham algebras in which \(f^ 3=f\). A complete description of the subdirectly irreducible algebras is given.
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Computable Isomorphisms of Distributive Lattices

2019
© Springer Nature Switzerland AG 2019. A standard tool for the classifying computability-theoretic complexity of equivalence relations is provided by computable reducibility. This gives rise to a rich degree-structure which has been extensively studied in the literature.
Nikolay Bazhenov 0001   +2 more
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Quasiorders and Sublattices of Distributive Lattices

Order, 2002
The author studies the lattice \(\text{Sub}_{01}(L)\) of all \((0,1)\)-sublattices of a distributive lattice \(L\), using certain compatible quasiorders on the Priestley space of \(L\). The main theorems describe \(\text{Sub}_{01}(L)\) in terms of special quasiorders on the Priestley space of \(L\) and characterize the covering relation in \(\text{Sub ...
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Free Q-distributive lattices

Studia Logica, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Distributive Lattices with a Negation Operator

Mathematical Logic Quarterly, 1999
AbstractIn this note we introduce and study algebras (L, V, Λ, ⌝, 0,1) of type (2, 2,1,1,1) such that (L, V, ⌝, 0,1) is a bounded distributive lattice and ⌝ is an operator that satisfies the condition ⌝ (a V b) = a ⌝ b and ⌝ 0 = 1. We develop the topological duality between these algebras and Priestley spaces with a relation.
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