Results 31 to 40 of about 813,495 (126)

Commutators in Orthomodular Lattices

Demonstratio Mathematica, 1985
The author introduces the notions of a ''commutator'' for a possibly infinite set of elements M of an orthomodular lattice L and ''partial compatible'' (p.c.) for M with respect to some element \(a\in C(M)\) such that \(\{\) \(m\wedge a|\) \(m\in M\}\) is Boolean. If M is p.c. for \(a\in L\) then \(a\leq com(M)\) and CC(M) is p.c.
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An Intrinsic Topology for Orthomodular Lattices [PDF]

International Journal of Theoretical Physics, 2007
Under submission to the International Journal of Theoretical ...
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A survey on unsharp orthomodular lattices: A unifying framework

Journal of Algebraic Hyperstructures and Logical Algebras
In this survey we consider the variety of unsharp orthomodular lattices. We will see that there are pretty smooth conditions that neatly generalize a great deal of the theory of orthomodular lattices.
A. Ledda, G. Vergottini
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Note on $ p $-ideals set of orthomodular lattices

AIMS Mathematics
This 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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Coupled Right Orthosemirings Induced by Orthomodular Lattices [PDF]

Order, 2015
L. P. Belluce, A. Di Nola and B. Gerla established a connection between MV-algebras and (dually) lattice ordered semirings by means of so-called coupled semirings.
I. Chajda, H. Länger
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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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Structural Entanglement from Interaction-Induced Fixed Points

Entropy
We introduce a lattice-theoretic framework for composite information systems in which tensor-like composition and entanglement are defined without presupposing Hilbert spaces or quantum states.
Yukio-Pegio Gunji, Andrei Khrennikov
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Orthomodular Lattices and a Quantum Algebra

International Journal of Theoretical Physics, 2001
We show that one can formulate an algebra with lattice ordering so as to contain one quantum and five classical operations as opposed to the standard formulation of the Hilbert space subspace algebra. The standard orthomodular lattice is embeddable into the algebra.
Megill, Norman D., Pavičić, Mladen
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Two Remarks to Bifullness of Centers of Archimedean Atomic Lattice Effect Algebras

Acta Polytechnica, 2011
Lattice effect algebras generalize orthomodular lattices as well as MV-algebras. This means that within lattice effect algebras it is possible to model such effects as unsharpness (fuzziness) and/or non-compatibility. The main problem is the existence of
M. Kalina
doaj  

On Quantic Conuclei in Orthomodular Lattices

Theory and Applications of Categories, 1996
Summary: We study the lattice of quantic conuclei for orthomodular lattices. We show that under certain conditions we can get a complete characterization of all quantic conuclei. The thing to note is that we use a noncommutative, nonassociative disjunction operation which can be thought of as from noncommutative, nonassociative linear logic.
Román, Leopoldo, Zuazua, Rita E.
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