Results 91 to 100 of about 813,495 (126)

n-Orthodistributivity in Orthomodular Lattices

International Journal of Theoretical Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moes, Justin, Roddy, Micheale S.
openaire   +1 more source

On Blocks in the Products and Ultraproducts of Orthomodular Lattices

International Journal of Theoretical Physics, 2023
M. Matousek, P. Pták
semanticscholar   +1 more source

Remarks on Concrete Orthomodular Lattices

International Journal of Theoretical Physics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On natural density, orthomodular lattices, measure algebras and non-distributive $$L^p$$Lp spaces

, 2015
In this note we first show, roughly speaking, that if $$\mathcal {B}$$B is a Boolean algebra included in the natural way in the collection $$\mathcal {D}/_\sim $$D/∼ of all equivalence classes of natural density sets of the natural numbers, modulo null ...
J. Talponen
semanticscholar   +1 more source

Block-Finite Orthomodular Lattices

Canadian Journal of Mathematics, 1979
Introduction. Every orthomodular lattice (abbreviated : OML) is the union of its maximal Boolean subalgebras (blocks). The question thus arises how conversely Boolean algebras can be amalgamated in order to obtain an OML of which the given Boolean algebras are the blocks.
openaire   +2 more sources

A Finiteness Criterion for Orthomodular Lattices

Canadian Journal of Mathematics, 1978
The main result of this paper is the following: THEOREM. Every finitely generated orthomodular lattice L with finitely many maximal Boolean subalgebras (blocks) is finite. If L has one block only, our theorem reduces to the well-known fact that every ...
openaire   +2 more sources

Orthomodular lattices as implication algebras

Journal of Philosophical Logic, 1974
Recent progress has been made in the study of implication connectives on orthomodular lattices (see [6] and [7]). Some of this research has been motivated by the delicate question of the appropriate form of the conditional sentence in a quantum logic.
openaire   +1 more source

Orthmodular lattices whose MacNeille completions are not orthomodular

Order, 1991
In this paper it is shown that in the variety generated by the finite orthomodular lattices there is an orthomodular lattice whose MacNeille completion is not orthomodular. The construction uses a method of the reviewer, for which further properties are shown.
openaire   +2 more sources

Orthomodular Symmetric Lattices

1970
Let J be an ideal of a lattice L, and assume that every element of J is modular. If x,y∈J and x ≦a ∨ y in L, then there exists an element u ∈ J such that x≦u ∨ y andu≦a.
Fumitomo Maeda, Shûichirô Maeda
openaire   +1 more source

On interval homogeneous orthomodular lattices.

2001
Summary: An orthomodular lattice \(L\) is said to be interval homogeneous (respectively centrally interval homogeneous) if it is \(\sigma \)-complete and satisfies the following property: Whenever \(L\) is isomorphic to an interval, \([a,b]\), in \(L\) then \(L\) is isomorphic to each interval \([c,d]\) with \(c\leq a\) and \(d\geq b\) (respectively ...
DE SIMONE, ANNA, NAVARA M., PTAK P.
openaire   +2 more sources