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Median filters of pseudocomplemented distributive lattices [PDF]
Discussiones Mathematicae - General Algebra and ApplicationsCoherent filters, strongly coherent filters, and $\tau $-closed filters are introduced in pseudo-complemented distributive lattices and their characterization theorems are derived.
Mukkamala Sambasiva Rao
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Disjunctive Ideals of Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 The concept of disjunctive ideals is introduced in an Almost Distributive Lattice (ADL). It is proved that the set of all disjunctive ideals of an ADL forms a complete lattice.
Rafi N., Srujana M., Rao T. Srinivasa
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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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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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Logic and lattices for distributed programming [PDF]
Proceedings of the Third ACM Symposium on Cloud Computing, 2012 In recent years there has been interest in achieving application-level consistency criteria without the latency and availability costs of strongly consistent storage infrastructure. A standard technique is to adopt a vocabulary of commutative operations; this avoids the risk of inconsistency due to message reordering.
Neil Conway +4 more
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Remarks on Sugeno Integrals on Bounded Lattices
Mathematics, 2022 A discrete Sugeno integral on a bounded distributive lattice L is defined as an idempotent weighted lattice polynomial. Another possibility for axiomatization of Sugeno integrals is to consider compatible aggregation functions, uniquely extending the L ...
Radomír Halaš +2 more
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On the Homology of Distributive Lattices
European Journal of Combinatorics, 1998 For a finite poset \(P\) the set of order-ideals \(J(P)=L\) ordered by containment is a distributive lattice with rank \(| P|\) and rank function \(\rho(I) =| I|\). If \(S\subseteq [n-1]= \{1,\dots, n-1\}\), then \(J(P)_S= \{I\in J(P) \mid| I|\in S\cup \{0,n\}\}\). Given a finite poset \(Q=J(P)_S\) with \(\widehat 0\) and \(\widehat 1\), let \(C_r(Q)\),
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Distributive lattices as a generalization of Brouwerian lattices
Discrete Mathematics, 1977 Abstract It is taken for granted that Brouwerian lattices are distributive. The purpose of this paper is to give an axiom system for Brouwerian lattices from which can be deduced a slightly modified axiom system for distributive lattices.
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Phosphoinositides and inositol phosphates as molecular glues
FEBS Letters, EarlyView.Inositol phosphates (IPs) and phosphoinositides (PIPs) regulate diverse eukaryotic processes. Beyond recruiting signaling proteins or acting as structural cofactors, recent studies suggest they mediate protein–protein interactions as natural molecular glues.
Aleshia Seaton‐Terry +9 more
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Injective compact distributive lattices [PDF]
, 1973 In the category of zero-dimensional compact distributive lattices and their continuous lattice-homomorphisms, it is firstly shown that the injective objects are precisely the compact Boolean algebras, and each object has an injective envelope.
Tae Ho Choe
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