Modularity, Atomicity and States in Archimedean Lattice Effect Algebras

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Authors	PASEKA Jan
Year of publication	2010
Type	Article in Periodical
Magazine / Source	SIGMA
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	effect algebra; state; modular lattice; finite element; compact element
Description	Effect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular lattice there exists an (o)-continuous state omega on E, which is subadditive.
Related projects:	Mathematical structures and their physical applications