Results 41 to 50 of about 1,603 (177)
A Comparison of Implications in Orthomodular Quantum Logic—Morphological Analysis of Quantum Logic
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 Morphological operators are generalized to lattices as adjunction pairs (Serra, 1984; Ronse, 1990; Heijmans and Ronse, 1990; Heijmans, 1994). In particular, morphology for set lattices is applied to analyze logics through Kripke semantics (Bloch, 2002; Fujio and Bloch, 2004; Fujio, 2006).
Mitsuhiko Fujio, Shigeru Kanemitsu
wiley +1 more source
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.
doaj +1 more source
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
doaj +1 more source
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
core +6 more sources
Semilattices global valuations in the topos approach to quantum mechanics [PDF]
, 2017 In the framework of the topos approach to quantum mechanics a kind of global valuation is introduced and studied. It allows us to represent certain features related to the logical consequences of properties about quantum systems when its phase space is ...
de Ronde, Christian +2 more
core +1 more source
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
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.
core +4 more sources
The logic of causally closed spacetime subsets
, 2002 The causal structure of space-time offers a natural notion of an opposite or orthogonal in the logical sense, where the opposite of a set is formed by all points non time-like related with it.
Casini, H.
core +2 more sources
, 2020 We investigate the first-order theory of closed subspaces of complex Hilbert spaces in the signature $(\lor,\perp,0,1)$, where `$\perp$' is the orthogonality relation.
Fritz, Tobias
core +1 more source
Sharply Orthocomplete Effect Algebras [PDF]
, 2010 Special types of effect algebras $E$ called sharply dominating and S-dominating were introduced by S. Gudder in \cite{gudder1,gudder2}. We prove statements about connections between sharp orthocompleteness, sharp dominancy and completeness of $E$. Namely
Kalina, Martin +2 more
core +3 more sources