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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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Lower and upper probabilities in the distributive lattice of subsystems [PDF]
, 2014 The set of subsystems &Sgr; ( m ) ?> of a finite quantum system &Sgr; ( n ) ?> (with variables in Z ( n ) ?> ) together with logical connectives, is a distributive lattice.
A. Vourdas
semanticscholar +1 more source
α -ideals in a 0-distributive lattice
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2019 In this paper we have studied the -ideals in a 0-distributive lattice. We have described the -ideals by two definition and proved that these are equivalent. We have given several characterizations.
H. Rahman, R. Rahman
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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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A note on operations of hesitant fuzzy sets [PDF]
International Journal of Computational Intelligence Systems, 2015 In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively.
Zheng Pei, Liangzhong Yi
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Varieties of distributive rotational lattices [PDF]
, 2013 A rotational lattice is a structure (L;\vee,\wedge, g) where L=(L;\vee,\wedge) is a lattice and g is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices.
A.H. Clifford +14 more
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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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On Decompositions of Matrices over Distributive Lattices
Journal of Applied Mathematics, 2014 Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. In this paper, we show that if there is a subdirect embedding from distributive lattice L to the direct product ∏i=1mLi ...
Yizhi Chen, Xianzhong Zhao
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An analogue of distributivity for ungraded lattices [PDF]
, 2005 In this paper, we define a property, trimness, for lattices. Trimness is a not-necessarily-graded generalization of distributivity; in particular, if a lattice is trim and graded, it is distributive.
Thomas, Hugh
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Non-deterministic-M-fuzzy Lattices
Ratio Mathematica, 2023 Goran Trajakoviski and Tepavcevic´invented the L-fuzzy lattice in which a ´ bounded lattice is fuzzified using a complete lattice. Using a complete consistent distributive multilattice M, we broaden the concept of L-fuzzy lattice to Nd-M-fuzzy lattice ...
Gireesan K.K. +2 more
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