On direct decompositions of certain orthomodular lattices.
Konôpka, P., Pulmannová, S. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Konôpka, P., Pulmannová, S. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Ivan Chajda, Helmut Länger, Maciej Mączyński (2004)
Mathematica Slovaca
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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...
Ivan Chajda (2007)
Mathematica Bohemica
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Using the concept of the -lattice introduced recently by V. Snášel we define -lattices with antitone involutions. For them we establish a correspondence to ring-like structures similarly as it was done for ortholattices and pseudorings, for Boolean algebras and Boolean rings or for lattices with an antitone involution and the so-called Boolean quasirings.