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Continuity in Partially Ordered Sets [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 The notion of a continuous domain is generalized to include posets which are not dcpos and in which the set of elements way below an element is not necessarily directed. We show that several of the pleasing algebraic and topological properties of domains
Venu G. Menon
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Ramsey Numbers for Partially-Ordered Sets [PDF]
Order, 2018 We present a refinement of Ramsey numbers by considering graphs with a partial ordering on their vertices. This is a natural extension of the ordered Ramsey numbers. We formalize situations in which we can use arbitrary families of partially-ordered sets to form host graphs for Ramsey problems. We explore connections to well studied Turán-type problems
Christopher Cox, Derrick Stolee
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Majorization for partially ordered sets
Discrete Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard A Brualdi, Geir Dahl
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The Fuzzy Prime Spectrum of Partially Ordered Sets
International Journal of Mathematics and Mathematical Sciences, 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.
Derso Abeje Engidaw +5 more
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An Efficient Algorithm for Decomposition of Partially Ordered Sets
Journal of Mathematics, 2023 Efficient time complexities for partial ordered sets or posets are well-researched field. Hopcroft and Karp introduced an algorithm that solves the minimal chain decomposition in O (n2.5) time. Felsner et al.
Elsayed Badr +3 more
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An Integer Linear Programming Model for Partially Ordered Sets
Journal of Mathematics, 2022 Linear programming is an important approach that is used to represent a large class of combinatorial optimization problems. The simplex algorithm is one of the algorithms for solving linear programming problems with exponential time complexity ...
Elsayed Badr +3 more
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A Notion of Convergence in Fuzzy Partially Ordered Sets
Mathematics, 2020 The notion of sequential convergence in fuzzy partially ordered sets, under the name oF-convergence, is well known. Our aim in this paper is to introduce and study a notion of net convergence, with respect to the fuzzy order relation, named o-convergence,
Dimitrios Georgiou +2 more
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On the cardinality of layers in some partially ordered sets
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 In this paper, we explicitly calculated additional terms of cardinality asymptotics of layers in the n-dimensional k-valued lattice Enk for odd k as n → ∞. The main term had been previously determined by V.B.
T.V. Andreeva, Yu.S. Semenov
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Orthomodular Lattices Induced by the Concurrency Relation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2009 We apply to locally finite partially ordered sets a construction which associates a complete lattice to a given poset; the elements of the lattice are the closed subsets of a closure operator, defined starting from the concurrency relation. We show that,
Luca Bernardinello +2 more
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Some Common Fixed Point Theorems in Partially Ordered Sets
Journal of Applied Mathematics, 2020 The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.
Khadija Bouzkoura, Said Benkaddour
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