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Remarks on Concrete Orthomodular Lattices

International Journal of Theoretical Physics, 2004
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Generalized Orthomodular Lattices

1985
Let ‵G = (G, ∨, ∧) be a lattice with the least element 0. For any a∈G, define P(a): [0,a]→[0,a],to be a unary operation on [O,a] such that P(a):x↦xP(a). We shall say that ‵G is a generalized orthomodular lattice if and only if it satisfies the following conditions: (G 1) The algebra ([O,a], ∨, ∧,P(a), 0,a) is an orthomodular lattice for every a ...
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Different orthomodular orthocomplementations on a lattice

Order, 1987
In the axiomatic approach to quantum mechanics the lattice L of closed subspaces of a separable Hilbert space is called the standard quantum logic. The author constructs Hilbert lattices M which have all important ortholattice properties of L, but admit, on M as a lattice, infinitely many different orthomodular orthocomplementations. The quantum logics
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Computerized Investigation of Orthomodular Lattices

2000
Our algorithms and computer programs for generating Greechie diagrams with arbitrary chosen number of atoms or blocks will be presented. Also our novel algorithm and programs for checking of Greechie diagram passage by equations defining varieties of orthomodular lattices will be given.
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On Finitely Generated Orthomodular Lattices

Mathematische Nachrichten, 1979
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A distributivity property in an orthomodular lattice

Acta Mathematica Academiae Scientiarum Hungaricae, 1972
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A Transposition Principle in Orthomodular Lattices

Bulletin of the London Mathematical Society, 1970
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