Results 1 to 10 of about 399 (126)
Non-Deterministic Semantics for Quantum States [PDF]
Entropy, 2020 In this work, we discuss the failure of the principle of truth functionality in the quantum formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-deterministic semantics to the foundations of quantum mechanics. This is
Juan Pablo Jorge, Federico Holik
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Non-commutative symmetric differences in orthomodular lattices [PDF]
International Journal of Theoretical Physics, 2002 We deal with the following question: What is the proper way to introduce symmetric difference in orthomodular lattices? Imposing two natural conditions on this operation, six possibilities remain: the two (commutative) normal forms of the symmetric difference in Boolean algebras and four non-commutative terms. It turns out that in many respects the non-
Gerhard Dorfer
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On locally finite orthomodular lattices [PDF]
Mathematica Slovaca, 2022 Abstract Let us denote by ℒ ℱ $[\mathcal{L}\mathcal{F}$ the ...
Dominika Burešová, Pavel Pták
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Note on p-ideals set of orthomodular lattices
AIMS MathematicsThis paper mainly discusses the problems raised in Kalmbach's book: When are the $ p $-ideals of an irreducible orthomodular lattice well ordered under set inclusion?
Ziteng Zhao, Jing Wang, Yali Wu
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Cyclic atoms in orthomodular lattices [PDF]
Proceedings of the American Mathematical Society, 1971 Let P ( H ) P(H) denote the projection lattice of a separable Hilbert space H. For each x ∈ H {\text {x}} \in H , let P x {P_{\text {x}}} denote the projection onto the one ...
Donald E. Catlin
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Residuation in orthomodular lattices
Topological Algebra and its Applications, 2017 We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness.
Chajda Ivan, Länger Helmut
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Matrices over orthomodular lattices [PDF]
Glasgow Mathematical Journal, 1969 In this paper elementary properties are established for matrices whose coordinates are elements of a lattice L. In particular, many of the results of Luce [4] are extended to the case where L is an orthomodular lattice, a lattice with an orthocomplementation denoted by in which a ≦ b ⇒ a ∨(a′ ∧ b) = b.
Jean H. Bevis
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Implication connectives in orthomodular lattices. [PDF]
Notre Dame Journal of Formal Logic, 1975 Louis Herman +2 more
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Modular pairs in orthomodular lattices [PDF]
Pacific Journal of Mathematics, 1966 Erik A. Schreiner
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On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Orthomodular lattices generalize the Boolean algebras; they have arisen in the study of quantum logic. Quantum-MV algebras were introduced as non-lattice theoretic generalizations of MV algebras and as non-idempotent generalizations of ...
Afrodita Iorgulescu
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