Remarks about measures on orthomodular posets
Vladimír Rogalewicz (1984)
Časopis pro pěstování matematiky
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Displaying similar documents to “Remarks on Nikodým's boundedness theorem.”
Remarks about measures on orthomodular posets
Professor Sylvia Pulmannová
Anatolij Dvurečenskij (2004)
Mathematica Slovaca
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Orthomodular lattices with state-separated noncompatible pairs
R. Mayet, Pavel Pták (2000)
Czechoslovak Mathematical Journal
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In the logico-algebraic foundation of quantum mechanics one often deals with the orthomodular lattices (OML) which enjoy state-separating properties of noncompatible pairs (see e.g. , and ). These properties usually guarantee reasonable “richness” of the state space—an assumption needed in developing the theory of quantum logics. In this note we consider these classes of OMLs from the universal algebra standpoint, showing, as the main result, that these classes form quasivarieties....
Orthomodular Posets Can Be Organized as Conditionally Residuated Structures
Ivan Chajda, Helmut LÄNGER (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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It is proved that orthomodular posets are in a natural one-to-one correspondence with certain residuated structures.
Quantum B-algebras
Wolfgang Rump (2013)
Open Mathematics
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The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic. The logic of quantales and its algebraic semantics manifests itself in a class of partially ordered algebras with a pair of implicational operations recently introduced as quantum B-algebras. Implicational algebras like pseudo-effect algebras, generalized BL- or MV-algebras, partially ordered groups, pseudo-BCK algebras, residuated...
Some problems for measures on non-standard algebraic structures
Maria Gabriella Graziano (2000)
Bollettino dell'Unione Matematica Italiana
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Nell'ultimo ventennio tutta una serie di lavori è stata rivolta allo studio delle misure su strutture algebriche più generali delle algebre di Boole, come i poset e i reticoli ortomodulari, le effect algebras, le BCK-algebras. La teoria così ottenuta interessa l'analisi funzionale, il calcolo delle probabilità e la topologia, più recentemente la teoria delle decisioni. Si presentano alcuni risultati relativi a misure su strutture algebriche non-standard analizzando, in particolare, gli...