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Subordinations on Bounded Distributive Lattices

Order, 2022
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Distributive Lattices Lattice-Groups

2015
This chapter begins with an introductory section which fixes the formal algebraic framework of distributive lattices and of Boolean algebras.
Henri Lombardi, Claude Quitté
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On Unification for Bounded Distributive Lattices

ACM Transactions on Computational Logic, 2000
We give a method for deciding unifiability in the variety of bounded distributive lattices. For this, we reduce the problem of deciding whether a unification problem S has a solution to the problem of checking the satisfiability of a set Φ S of ground clauses.
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ENDOMORPHISMS OF DISTRIBUTIVE LATTICES WITH A QUANTIFIER

International Journal of Algebra and Computation, 2007
Let V be a non-trivial variety of bounded distributive lattices with a quantifier, as introduced by Cignoli in [7]. It is shown that if V does not contain the 4-element bounded Boolean lattice with a simple quantifier, then V contains non-isomorphic algebras with isomorphic endomorphism monoids, but there are always at most two such algebras. Further,
M. E. Adams, Wieslaw Dziobiak
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Homogeneous Modular Lattices are Distributive

Order, 2015
A structure \(A\) is homogeneous if any partial isomorphism between finitely generated substructures can be extended to an automorphism of the structure \(A\). \textit{A. Abogatma} and \textit{J. K. Truss} [Order 32, No. 2, 239--243 (2015; Zbl 1348.06004)] have constructed uncountably many contable homogeneous lattices.
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On Weak Lewis Distributive Lattices

Studia Logica
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Ismael Calomino   +2 more
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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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