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Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
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 that is not an orthomodular
lattice there exists an -continuous state on , which is
subadditive. Moreover, we show properties of finite and compact elements of
such lattice effect algebras
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