Results 11 to 20 of about 167 (147)
H-Fuzzy Ideals and H-Fuzzy Filters in Distributive Join-Semilattices
Journal of MathematicsThis paper investigates H-fuzzy ideals of distributive join-semilattices with least element 0 whose codomain is a complete lattice that satisfies the infinite meet distributive law.
Mohammed Amare Mohammed +3 more
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The Spectral Space of H-Fuzzy Prime Ideals in Distributive Join-Semilattices
Journal of Applied MathematicsThe essential characteristics of H-fuzzy prime ideals and H-fuzzy maximal ideals within distributive join-semilattices are introduced and examined in this work.
Mohammed Amare Mohammed +3 more
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Proceedings of the American Mathematical Society, 1978 Let S (respectively S 0 {{\mathbf {S}}_0} ) denote the category of all join-semilattices (resp. join-semilattices with 0) with (0-preserving) semilattice homomorphisms. For A ∈ S A \in
Bulman-Fleming, Sydney +1 more
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arXiv, 2021 We show that every finite semilattice can be represented as an atomized semilattice, an algebraic structure with additional elements (atoms) that extend the semilattice's partial order. Each atom maps to one subdirectly irreducible component, and the set of atoms forms a hypergraph that fully defines the semilattice. An atomization always exists and is
Martin-Maroto, Fernando +1 more
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On distances and metrics in discrete ordered sets [PDF]
Mathematica Bohemica, 2021 Discrete partially ordered sets can be turned into distance spaces in several ways. The distance functions may or may not satisfy the triangle inequality and restrictions of the distance to finite chains may or may not coincide with the natural ...
Stephan Foldes, Sándor Radeleczki
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Topological duality for orthomodular lattices
Mathematical Logic Quarterly, Volume 69, Issue 2, Page 174-191, May 2023., 2023 Abstract A class of ordered relational topological spaces is described, which we call orthomodular spaces. Our construction of these spaces involves adding a topology to the class of orthomodular frames introduced by Hartonas, along the lines of Bimbó's topologization of the class of orthoframes employed by Goldblatt in his representation of ...
Joseph McDonald, Katalin Bimbó
wiley +1 more source
Representation of Hilbert algebras and implicative semilattices
Open Mathematics, 2003 Celani Sergio
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Modal meet-implication logic [PDF]
Logical Methods in Computer Science, 2022 We extend the meet-implication fragment of propositional intuitionistic logic with a meet-preserving modality. We give semantics based on semilattices and a duality result with a suitable notion of descriptive frame.
Jim de Groot, Dirk Pattinson
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O-Distributive Semilattices [PDF]
Canadian Mathematical Bulletin, 1978 AbstractSufficient conditions for a semilattice to be a 0- distributive are obtained. Some equivalent formulations of 0- distributivity in a semilattice are given. Further, disjunctive 0- distributive semilattices are also characterized.
Pawar, Y. S., Thakare, N. K.
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The Fuzzy Prime Spectrum of Partially Ordered Sets
International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023 We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull‐kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively.
Derso Abeje Engidaw +6 more
wiley +1 more source