Results 11 to 20 of about 18,279 (288)
The Involutive Quantaloid of Completely Distributive Lattices [PDF]
International Conference on Relational and Algebraic Methods in Computer Science, 2020 Let L be a complete lattice and let Q(L) be the unital quantale of join-continuous endo-functions of L. We prove the following result: Q(L) is an involutive (that is, non-commutative cyclic $\star$-autonomous) quantale if and only if L is a completely distributive lattice.
L. Santocanale
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Polarity in a Completely Distributive Complete Lattice [PDF]
Proceedings of the American Mathematical Society, 1988 We introduce p p -bases in completely distributive complete polarity lattices and give a procedure for generating these ...
Z. Deng
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Complete Congruences of Completely Distributive Lattices
International Conference on Relational and Algebraic Methods in Computer ScienceAll the binomial lattices embed into Q∨(I), the complete lattice of sup-preserving endomaps of the unit interval-whose elements can be seen as continuous monotone paths from (0, 0) to (1, 1). This lattice is completely distributive. We give a general description of the complete congruences of completely distributive lattices by means of an interior ...
Calk, Cameron, Santocanale, Luigi
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Free completely distributive lattices [PDF]
Proceedings of the American Mathematical Society, 1979 We show that the usual construction of the free distributive lattice on n generators generalizes to an arbitrary quantity of generators and actually yields a free completely distributive lattice.
George Markowsky, Markowsky, George
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Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive [PDF]
Monatshefte für Mathematik (Print), 2022 We completely classify all varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive.
S. V. Gusev
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Countably QC-Approximating Posets [PDF]
The Scientific World Journal, 2014 As a generalization of countably C-approximating posets, the concept of countably QC-approximating posets is introduced. With the countably QC-approximating property, some characterizations of generalized completely distributive lattices and generalized ...
Xuxin Mao, Luoshan Xu
doaj +2 more sources
Structure of completely distributive complete lattices
Indagationes Mathematicae (Proceedings), 1987 A lattice with 0 is called dense if 0 is meet-irreducible. The author proves the following simple theorem: If L is a non trivial dense complete chain, the lattice morphisms from L to I (the real unit interval, with the usual order) separate the points (for every ...
Moresco, Roberto
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Invariant functionals on completely distributive lattices [PDF]
Fuzzy Sets and Systems, 2011 In this paper we are interested in functionals defined on completely distributive lattices and which are invariant under mappings preserving {arbitrary} joins and meets. We prove that the class of nondecreasing invariant functionals coincides with the class of Sugeno integrals associated with $\{0,1\}$-valued capacities, the so-called term functionals,
Marta Cardin, MIGUEL Couceiro
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An extension of the fuzzy unit interval to a tensor product with completely distributive first factor☆ [PDF]
Fuzzy Sets Syst., 2019 The original Hutton interval I ( L ) can algebraically be identified with the tensor product I ⊗ L of the real unit interval I and a complete lattice L.
J. García, U. Höhle, T. Kubiak
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