Publication details

Modularity, Atomicity and States in Archimedean Lattice Effect Algebras



Year of publication 2010
Type Article in Periodical
Magazine / Source SIGMA
MU Faculty or unit

Faculty of Science

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.
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