Results 21 to 30 of about 10,642 (232)
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
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Logic Journal of the IGPL, 2023 Abstract We devise exact conditions under which a join semilattice with a weak contact relation can be semilattice embedded into a Boolean algebra with an overlap contact relation, equivalently, into a distributive lattice with additive contact relation.
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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
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Endomorphism monoids of semilattices of semigroups
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2017 We prove that the endomorphism monoid of a semilattice of semigroups, which are semilattice indecomposable, is isomorphically embedded into the wreath product of a transformation semigroup with a small category.
Ю. В. Жучок
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MINIMAL EXPANSIONS OF SEMILATTICES [PDF]
International Journal of Algebra and Computation, 2004 We determine the minimal extension of the sequence <0,1,1,…,1,2>. This completes and extends the work of Koh, started in 1970, and solves Problem 15 in the survey on pn-sequences and free spectra [4]. The results involve the investigation of some minimal expansions of semilattices.
Peter Jipsen, Andrzej Kisielewicz 0001
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Gradual Sets: An Approach to Fuzzy Sets
Advances in Fuzzy Systems, Volume 2023, Issue 1, 2023., 2023 In the fuzzy theory of sets and groups, the use of α‐levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong α‐levels, it is possible to establish a one to one correspondence which makes possible doubly, a gradual and a functorial treatment of the fuzzy theory.
Josefa M. García +2 more
wiley +1 more source
Theoretical Computer Science, 1986 A subset system \({\mathcal Z}\) is an operator assigning to each poset P a collection \({\mathcal Z}(P)\) of subsets of P such that for each \(X\in {\mathcal Z}(P)\) and each order-preserving \(f: P\to Q\) we have f(X)\(\in {\mathcal Z}(Q)\). A poset P is \({\mathcal Z}\)-complete iff each \(X\in {\mathcal Z}(P)\) has a join in P.
Jirí Adámek +2 more
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Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions [PDF]
Journal of Combinatorial Theory, 2014 The invertibility of Least Common Multiple (LCM) matrices and their Hadamard powers have been extensively studied over the years by many authors. Bourque and Ligh conjectured in 1992 that the LCM matrix S ] = x i , x j ] ] on any GCD closed set S = { x 1
P. Haukkanen +2 more
semanticscholar +1 more source
A Note on the Relevance of Semilattice Relevance Logic
Australasian Journal of Logic, 2019 A propositional logic has the variable sharing property if φ → ψ is a theorem only if φ and ψ share some propositional variable(s). In this note, I prove that positive semilattice relevance logic (R+u) and its extension with an involution negation (R¬u ...
Yale Weiss
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On automorphisms of strong semilattice of groups
Mathematics Open, 2022 In this paper, we consider the automorphisms of the strong semilattice of groups and relate them to the isomorphisms and automorphisms of underlying groups. We also provide a construction for non-trivial automorphisms of semilattices.
Aftab Hussain Shah +2 more
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