Results 91 to 100 of about 131 (121)

n-Orthodistributivity in Orthomodular Lattices

International Journal of Theoretical Physics, 2014
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Moes, Justin, Roddy, Micheale S.
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Remarks on Concrete Orthomodular Lattices

International Journal of Theoretical Physics, 2004
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Two new kinds of orthomodular lattices: Nilpotent and Engel orthomodular lattices

Discrete Mathematics, Algorithms and Applications
In this paper, the concepts of nilpotent and Engel orthomodular lattices, similar with the solvable orthomodular lattices are defined and their properties are investigated. The notion of [Formula: see text]-Engel orthomodular lattices as a natural generalization of distributive orthomodular lattices is introduced, and we discuss Engel orthomodular ...
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Completions of orthomodular lattices II

Order, 1993
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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.
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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 ...
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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.
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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.
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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
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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.
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