Results 31 to 40 of about 410 (263)
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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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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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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“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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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 Prime E-ideals of Almost Distributive Lattices
International Journal of Analysis and Applications, 2023 In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL.
N. Rafi +3 more
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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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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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The ubiquitin‐proteasome system and autophagy as guardians of the cellular proteome
FEBS Letters, EarlyView.This Perspective covers the three principles governing the crosstalk between the ubiquitin‐proteasome system and autophagy in cellular proteostasis: (1) a shared ubiquitin code routing substrates via shuttle factors or autophagy receptors; (2) spatial compartmentalization into phase‐separated degradation hubs and organelle‐specific modules (exemplified
Ivan Dikic
wiley +1 more source