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The role of the modular pairs in the category of complete orthomodular lattice
, 1979 Diederik Aerts, C. Piron
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ON THE STRUCTURE OF ORTHOMODULAR LATTICES SATISFYING LOOP LEMMA [PDF]
, 2004 Eun-Soon Park, Mi-Mi Kim
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Isomorphisms between interval sublattices of an orthomodular lattice
, 1973 Jr. Samuel S. Holland
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A short equational axiomatization of orthomodular lattices.
, 1976 Bolesław Sobociński
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A complete and countable orthomodular lattice is atomic [PDF]
, 1969 C. H. Randall
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Categorical Equivalence Between Orthomodular Dynamic Algebras and Complete Orthomodular Lattices
, 2017 Kohei Kishida +3 more
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Algebra Universalis, 1992
Let \({\mathcal C}(X)\) be the \(\perp\)-closed subsets of a set \(X\) with a binary relation \(\perp\) which is irreflexive, symmetric and satisfies \(x^{\perp\perp}=\{x\}\). For \(A,B\in{\mathcal C}(X)\) the relation \(A\theta B\) holds iff \([A\cap B,\;A\vee B]\) is of finite height.
M. Roddy
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Let \({\mathcal C}(X)\) be the \(\perp\)-closed subsets of a set \(X\) with a binary relation \(\perp\) which is irreflexive, symmetric and satisfies \(x^{\perp\perp}=\{x\}\). For \(A,B\in{\mathcal C}(X)\) the relation \(A\theta B\) holds iff \([A\cap B,\;A\vee B]\) is of finite height.
M. Roddy
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Foulis Quantales and Complete Orthomodular Lattices [PDF]
European Society for Fuzzy Logic and TechnologyOur approach establishes a natural correspondence between complete orthomodular lattices and certain types of quantales. Firstly, given a complete orthomodular lattice X, we associate with it a Foulis quantale Lin(X) consisting of its endomorphisms. This
M. Botur, Jan Paseka, Richard Smolka
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A distributivity property in an orthomodular lattice
Acta Mathematica Academiae Scientiarum Hungaricae, 1972J. Bevis
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