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International Journal of Theoretical Physics, 1995
For two classes of algebras \(C_2\subseteq C_1\) (minimal) exclusion systems \(\Sigma\subseteq C_1- C_2\) are discussed, for \(C_1\): all orthomodular lattices OML, \(C_2\): all modular ortholattices. A negative answer is given to the question of a finite \(\Sigma\) consisting of finite OML: Every such \(\Sigma\) contains an infinite OML. A minimal OML
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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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Lattice-valued General Orthomodular Automata

International Journal of Theoretical Physics, 2023
M M Zahedi
exaly

The free orthomodular lattice on countably many generators is a subalgebra of the free orthomodular lattice on three generators

Algebra Universalis, 2002
John Harding, Harding John
exaly

Orthomodular and Unsharp Orthomodular Lattices: A Categorical Equivalence

Studia Logica
Antonio Ledda, Gandolfo Vergottini
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Lattice uniformities and modular functions on orthomodular lattices

Order, 1995
Hans Weber, Weber Hans
exaly

The Structure Group of a Generalized Orthomodular Lattice

Studia Logica, 2017
Wolfgang Rump, Rump Wolfgang
exaly

Conditional Entropy and the Rokhlin Metric on an Orthomodular Lattice with Bayessian State

International Journal of Theoretical Physics, 2007
Mona Khare
exaly