Results 51 to 60 of about 672,721 (195)
Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements [PDF]
, 2010 We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras. Moreover, we prove that if such effect algebra $
Riecanova, Zdenka
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Conrad’s Partial Order on P.Q.-Baer *-Rings
Discussiones Mathematicae - General Algebra and Applications, 2018 We prove that a p.q.-Baer *-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer *-rings which are lattices. The initial segments of a p.q.-Baer *-ring with the Conrad’s partial order are shown to be an orthomodular ...
Khairnar Anil, Waphare B.N.
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On Quantum-MV Algebras - Part I: The Orthomodular Algebras
Scientific Annals of Computer Science, 2021 We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of ...
Afrodita Iorgulescu
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Bell-type inequalities for bivariate maps on orthomodular lattices [PDF]
, 2014 Bell-type inequalities on orthomodular lattices, in which conjunctions of propositions are not modeled by meets but by maps for simultaneous measurements (s-maps), are studied.
Nanasiova, Olga +2 more
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Categoricity and Possibility. A Note on Williamson's Modal Monism [PDF]
, 2020 The paper sketches an argument against modal monism, more specifically against the reduction of physical possibility to metaphysical possibility.
Toader, Iulian D.
core
Classification of states on certain orthomodular structures [PDF]
Journal of Algebraic Hyperstructures and Logical AlgebrasWe define various types of states on implicative involutive BE-algebras (Jauch-Piron state, (P)-state, (B)-state, subadditive state, valuation), and we investigate the relationships between these states.
L. Ciungu
semanticscholar +1 more source
Solvability of Generalized Orthomodular Lattices [PDF]
Pacific Journal of Mathematics, 1975 Suppose K is a given equational class of lattices (cf. I.26) and let ‵L be a lattice. Denote by E K (‵L) the set formed by those congruences T on ‵L for which ‵L/T∈K. Since ‵L/U∈K for the universal congruence U=L}L, E K (‵L) ≠ ∅. Define C K to be the intersection ∩{T; T∈E K (‵L)}. Then C K (‵L) is a congruence on ‵L. From I.25 we conclude that ‵L/C K (‵
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Quantum information as a non-Kolmogorovian generalization of Shannon's theory [PDF]
, 2015 In this article we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting.
Bellomo, G., Bosyk, G. M., Holik, F.
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Relatively orthomodular lattices
Discrete Mathematics, 2001 \textit{M.~F.~Janowitz} [``A note on generalized orthomodular lattices'', J. Nat. Sci. Math. 8, 89-94 (1968; Zbl 0169.02104)] defined a generalized orthomodular lattice (GOML) as a lattice with 0 and with an orthogonality relation (similar to that considered in orthomodular lattices (OMLs)).
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Information-theoretic principle entails orthomodularity of a lattice
, 2005 Quantum logical axiomatic systems for quantum theory usually include a postulate that a lattice under consideration is orthomodular. We propose a derivation of orthomodularity from an information-theoretic axiom.
A. Grinbaum +34 more
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