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Generalized Orthomodular Lattices
1985Let ‵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, 1987In 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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Orthomodular lattice in Lorentzian globally hyperbolic space-time
, 2017W. Cegła, B. Jancewicz, J. Florek
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Conditional Entropy and the Rokhlin Metric on an Orthomodular Lattice with Bayessian State
, 2008M. Khare, Shraddha Roy
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Reichenbach’s Common Cause in an Atomless and Complete Orthomodular Lattice
, 2008Y. Kitajima
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Nanointerface Chemistry: Lattice-Mismatch-Directed Synthesis and Application of Hybrid Nanocrystals
Chemical Reviews, 2020Jia Liu, Jia-Tao Zhang
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An $m$-orthocomplete orthomodular lattice is $m$-complete
, 1970S. Holland
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Second-Sphere Lattice Effects in Copper and Iron Zeolite Catalysis
Chemical Reviews, 2022Hannah M Rhoda +2 more
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