Results 21 to 30 of about 176,338 (220)
Atom structures of cylindric algebras and relation algebras [PDF]
, 1997 Accepted ...
Hodkinson, I, Hodkinson, Ian
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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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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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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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On Semi-Boolean-Like Algebras [PDF]
, 2013 summary:In a previous paper, we introduced the notion of Boolean-like algebra as a generalisation of Boolean algebras to an arbitrary similarity type. In a nutshell, a double-pointed algebra $\mathbf {A}$ with constants $0,1$ is Boolean-like in case for ...
Ledda, Antonio +7 more
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Discrete Mathematics, 1974 AbstractStudies of various algebraic structures which can be defined over a Boolean algebra by means of Boolean operations have been made by Bernstein [1, 2], Cunkle [3], Elliott [4], Frink [6, 7], Grätzer [8], Grätzer and Schmidt [9], Rudeanu [10, 11], Vaidyanathaswamy [12], Wiener [13], and others.
C. H. Cunkle, Sergiu Rudeanu
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Semi-Cohen Boolean algebras [PDF]
, 1997 . We investigate classes of Boolean algebras related to the notion of forcing that adds Cohen reals. A Cohen algebra is a Boolean algebra that is dense in the completion of a free Boolean algebra. We introduce and study generalizations of Cohen algebras:
Thomas Jech +5 more
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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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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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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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