On interval homogeneous orthomodular lattices.
De Simone, A., Navara, M., Pták, P. (2001)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “On the permanence properties of interval homogeneous orthomodular lattices”
On interval homogeneous orthomodular lattices.
On direct decompositions of certain orthomodular lattices.
Konôpka, P., Pulmannová, S. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Orthocomplemented difference lattices with few generators
Milan Matoušek, Pavel Pták (2011)
Kybernetika
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The algebraic theory of quantum logics overlaps in places with certain areas of cybernetics, notably with the field of artificial intelligence (see, e. g., [19, 20]). Recently an effort has been exercised to advance with logics that possess a symmetric difference ([13, 14]) - with so called orthocomplemented difference lattices (ODLs). This paper further contributes to this effort. In [13] the author constructs an ODL that is not set-representable. This example is quite elaborate. A...
A measure-theoretic characterization of Boolean algebras among orthomodular lattices
Pavel Pták, Sylvia Pulmannová (1994)
Commentationes Mathematicae Universitatis Carolinae
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We investigate subadditive measures on orthomodular lattices. We show as the main result that an orthomodular lattice has to be distributive (=Boolean) if it possesses a unital set of subadditive probability measures. This result may find an application in the foundation of quantum theories, mathematical logic, or elsewhere.