Results 21 to 30 of about 1,290 (174)
Identities in the Algebra of Partial Maps [PDF]
, 2005 We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson +3 more
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Determinants on Semilattices [PDF]
Proceedings of the American Mathematical Society, 1969 This corollary can be applied to the construction of some (? 1)determinants with large values. For the background on generalized M\4obius functions we refer to the paper [2 ] by Gian-Carlo Rota. 2. We first prove a lemma. LEMMA. Let X be a finite-semilattice and a, b CX such that b $ a.
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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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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
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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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
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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Duality for semilattice representations [PDF]
, 1997 The paper presents general machinery for extending a duality between complete, cocomplete categories to a duality between corresponding categories of semilattice representations (i.e. sheaves over Alexandrov spaces).
Romanowska, A.B., Smith, J.D.H.
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Some remarks on certain classes of semilattices
International Journal of Mathematics and Mathematical Sciences, 1982 In this paper the concept of a ∗-semilattice is introduced as a generalization to distributive ∗-lattice first introduced by Speed [1]. It is shown that almost all the results of Speed can be extended to a more eneral class of distributive ∗-semilattices.
P. V. Ramana Murty, M. Krishna Murty
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