On interval homogeneous orthomodular lattices.
De Simone, A., Navara, M., Pták, P. (2001)
Commentationes Mathematicae Universitatis Carolinae
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De Simone, A., Navara, M., Pták, P. (2001)
Commentationes Mathematicae Universitatis Carolinae
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Konôpka, P., Pulmannová, S. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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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...
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.
Ján Jakubík (2002)
Mathematica Bohemica
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This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.
Peter H. Schmitt (1976)
Annales scientifiques de l'Université de Clermont. Mathématiques
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