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Modular pairs in orthomodular lattices [PDF]

Pacific Journal of Mathematics, 1966
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Indexed orthomodular lattices

Mathematische Zeitschrift, 1971
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Orthomodular and Unsharp Orthomodular Lattices: A Categorical Equivalence

Studia Logica
Antonio Ledda, Ledda Antonio
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Orthomodular lattices as L-algebras

Soft Computing, 2020
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Yali Wu, Yichuan Yang
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Projective orthomodular lattices II

Algebra Universalis, 1997
The authors continue the study of projectivity in orthomodular lattices started in Part I [Can. Math. Bull. 37, No. 2, 145-153 (1994; Zbl 0819.06007)]. The main results: Theorem 1.1. No uncountable Boolean algebra is projective in the variety of all orthomodular lattices. Corollary 1.3. Every Boolean subalgebra of a free orthomodular lattice is at most
Bruns, G., Roddy, M. S.
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Completions of orthomodular lattices II

Order, 1993
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John Harding, Harding John
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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 ...
Ardavan Najafi
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Central lifting property for orthomodular lattices

Mathematica Slovaca, 2020
We introduce and investigate central lifting property (CLP) for orthomodular lattices as a property whereby all central elements can be lifted modulo every p-ideal. It is shown that prime ideals, maximal ideals and finite p-ideals have CLP.
Arsham Borumand Saeid
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Decidability in Orthomodular Lattices

International Journal of Theoretical Physics, 2005
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Hyčko, Marek, Navara, Mirko
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