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Orthmodular lattices whose MacNeille completions are not orthomodular
Order, 1991In 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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Two new kinds of orthomodular lattices: Nilpotent and Engel orthomodular lattices
Discrete Mathematics, Algorithms and ApplicationsIn 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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On Finitely Generated Orthomodular Lattices
Mathematische Nachrichten, 1979openaire +2 more sources
Orthomodular and Unsharp Orthomodular Lattices: A Categorical Equivalence
Studia LogicaAntonio Ledda, Gandolfo Vergottini
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