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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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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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Categorical Equivalence Between Orthomodular Dynamic Algebras and Complete Orthomodular Lattices
International Journal of Theoretical Physics, 2017K. Kishida +3 more
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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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A Note on Orthomodular Lattices
International Journal of Theoretical Physics, 2017S. Bonzio, I. Chajda
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An equational theory for σ-complete orthomodular lattices
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2019H. Freytes
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The Join of the Variety of MV-Algebras and the Variety of Orthomodular Lattices
International Journal of Theoretical Physics, 2015J. Kühr, I. Chajda, R. Halaš
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Orthomodular lattices that are $$Z_2$$Z2-rich
, 2018M. Matousek, P. Pták
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On the law (a�b?)?=b+a?�b? in de Morgan algebras and orthomodular lattices
Soft Computing, 2003C Alsina, E Trillas
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