Results 31 to 40 of about 3,079 (232)
Annals of Pure and Applied Logic, 1985 Let \(\kappa\) be the cofinality of \(2^{\aleph_ 0}\). There exists a Boolean algebra B of cardinality \(\kappa\) with the property that every subset of B of size \(\kappa\) contains two elements a and b such that ...
Robert Bonnet, Saharon Shelah
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On the Sperner property and Gorenstein Algebras Associated to Matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We introduce a certain class of algebras associated to matroids. We prove the Lefschetz property of the algebras for some special cases. Our result implies the Sperner property for the Boolean lattice and the vector space lattice.
Toshiaki Maeno, Yasuhide Numata
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Computably enumerable boolean algebras [PDF]
, 2018 We study computably enumerable boolean algebras, focusing on Stone duality and universality phenomena. We show how classical Stone duality specializes to c.e. boolean algebras, giving a natural bijection between c.e.
Tran, Ying-Ying
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Tense Operators on BL-algebras and Their Applications
Bulletin of the Section of Logic, 2021 In this paper, the notions of tense operators and tense filters in BL-algebras are introduced and several characterizations of them are obtained. Also, the relation among tense BL-algebras, tense MV-algebras and tense Boolean algebras are investigated ...
Akbar Paad
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Notre Dame Journal of Formal Logic, 2011 We prove a Theorem about the relationship between the Depth of the ultraproduct of Boolean algebras, divided by an ultrafilter, and the products of the depths of each component. This answers (partly) an open problem of Monk.
Shimon Garti, Saharon Shelah
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Fuzzy Weak Regular, Strong and Preassociative Filters in Residuated Lattices
Fuzzy Information and Engineering, 2014 In this paper, the notions of fuzzy weak regular, strong and preassociative filters are introduced with some properties of them investigated. In particular, under the context of Glivenko algebras, fuzzy weak regular filters and regular ones are ...
Wei Yang
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Axiomatizing complex algebras by games [PDF]
, 2001 Submitted ...
Mikulas, S +5 more
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A Note on 3×3-valued Łukasiewicz Algebras with Negation
Bulletin of the Section of Logic, 2021 In 2004, C. Sanza, with the purpose of legitimizing the study of n × m-valued Łukasiewicz algebras with negation (or NSn×m-algebras) introduced 3 × 3-valued Łukasiewicz algebras with negation.
Carlos Gallardo, Alicia Ziliani
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Relation algebras with n-dimensional relational bases [PDF]
, 2000 Accepted ...
Hirsch, R, Hodkinson, I
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Lie Triple Derivations on 𝒥-Subspace Lattice Algebras
Abstract and Applied Analysis, 2014 We describe the structure of Lie triple derivations on 𝒥-subspace lattice algebras. The results can be applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras, respectively.
Ting Wang, Fangyan Lu
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