Results 21 to 30 of about 15,586 (289)
SOME PROPERTIES ON DERIVATIONS OF LATTICES [PDF]
Journal of Algebraic Systems, 2021 In this paper we consider some properties of derivations of lattices and show that (i) for a derivation $d$ of a lattice $L$ with the maximum element $1$, it is monotone if and only if $d(x) \le d(1)$ for all $x\in L$ (ii) a monotone derivation $d$ is ...
Mayuka Kawaguchi, Michiro KONDO
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Rough sets based on fuzzy ideals in distributive lattices
Open Mathematics, 2020 In this paper, we present a rough set model based on fuzzy ideals of distributive lattices. In fact, we consider a distributive lattice as a universal set and we apply the concept of a fuzzy ideal for definitions of the lower and upper approximations in ...
Yang Yongwei, Zhu Kuanyun, Xin Xiaolong
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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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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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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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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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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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Distribution of Lattice Points [PDF]
Computing, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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