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L-Fuzzy Prime Spectrums of ADLs
Advances in Fuzzy Systems, 2021 The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings.
Natnael Teshale Amare +2 more
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A Class of Congruencies on Distributive Semilattice
Revista de Investigaciones Universidad del Quindío, 2022 In this paper we, contribute the notation of natural epimorphism of a semilattice on the quotient semilattice and subsemilattice. If S is distributive semilattice and F is a filter of S, then we demonstrate that θF is the smallest congruence on S ...
Tolesa Dekeba Bekele, Tesfu Reta
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Duke Mathematical Journal, 1952 A lattice L is infinitely (join) distributive if a ∩ ∪ B b = ∪ B (a ∩ b) whenever the indicated joins exist in L. Clearly infinite distributivity implies ordinary distributivity. On the other hand it is easy to give examples of distributive lattices which are not infinitely distributive. For example, the rational integers under the relation of division
Dilworth, R. P., McLaughlin, J. E.
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Distribution of Lattice Points [PDF]
Computing, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Distributive lattices and some related topologies in comparison with zero-divisor graphs [PDF]
Categories and General Algebraic Structures with Applications, 2021 In this paper,for a distributive lattice $\mathcal L$, we study and compare some lattice theoretic features of $\mathcal L$ and topological properties of the Stone spaces ${\rm Spec}(\mathcal L)$ and ${\rm Max}(\mathcal L)$ with the corresponding graph ...
Saeid Bagheri, mahtab Koohi Kerahroodi
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Weak Relative Complements in Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, the concept of relative complementation in almost distributive lattice is generalized. We obtain several properties on the sets of weak relative complement elements.
Sirisetti Ramesh, Jogarao G.
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Evolution on distributive lattices [PDF]
Journal of Theoretical Biology, 2006 22 pages, 4 figures; minor corrections, moved details to appendix.
Beerenwinkel, Niko +2 more
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Distributive lattices have the intersection property [PDF]
Mathematica Bohemica, 2021 Distributive lattices form an important, well-behaved class of lattices. They are instances of two larger classes of lattices: congruence-uniform and semidistributive lattices.
Henri Mühle
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Homology of distributive lattices [PDF]
Journal of Homotopy and Related Structures, 2012 We outline the theory of sets with distributive operations: multishelves and multispindles, with examples provided by semi-lattices, lattices and skew lattices. For every such a structure we define multi-term distributive homology and show some of its properties.
Józef Henryk Przytycki +1 more
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Congruences on a Distributive Lattice [PDF]
Proceedings of the Edinburgh Mathematical Society, 1954 Among the many papers on the subject of lattices I have not seen any simple discussion of the congruences on a distributive lattice. It is the purpose of this note to give such a discussion for lattices with a certain finiteness. Any distributive lattice is isomorphic with a ring of sets (G. Birkhoff, Lattice Theory, revised edition, 1948, p.
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