Results 11 to 20 of about 218 (206)
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
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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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Structure of completely distributive complete lattices
Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A, Indagationes Mathematicae, 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 ...
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Equalizers and Coequalizers in the Category of Topological Molecular Lattices [PDF]
Journal of Mahani Mathematical Research, 2023 A completely distributive complete lattice is called a molecular lattice. It is well known that the category TML of all topological molecular lattices with generalized order homomorphisms in the sense of Wang, is both complete and cocomplete.
Ghasem Mirhosseinkhani, Narges Nazari
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On generalized topological molecular lattices [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces.
Narges Nazari, Ghasem Mirhosseinkhani
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“Complete-simple” distributive lattices [PDF]
Proceedings of the American Mathematical Society, 1993 It is well known that the only simple distributive lattice is the two-element chain. We can generalize the concept of a simple lattice to complete lattices as follows: a complete lattice is complete-simple if it has only the two trivial complete congruences.
Grätzer, G., Schmidt, E. T.
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Structure of completely distributive complete lattices
Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A, Indagationes Mathematicae, 1981 exaly +3 more sources
Classes of completely distributive complete lattices
Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A, Indagationes Mathematicae, 1979 exaly +3 more sources
Complete Congruence Lattices of Complete Distributive Lattices
Journal of Algebra, 1995 The authors deal with the question of whether every complete lattice \(L\) is isomorphic to the lattice of complete congruence relations of a suitable complete lattice \(K\). They prove that \(K\) can always be chosen as a complete distributive lattice. In fact, they prove a more general result: Let \(m\) be a regular cardinal \(>\aleph_ 0\). Every \(m\
Gratzer, G., Schmidt, E.T.
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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 ...
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