67 research outputs found
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
A representation theorem for quantale valued sup-algebras
With this paper we hope to contribute to the theory of quantales and
quantale-like structures. It considers the notion of -sup-algebra and shows
a representation theorem for such structures generalizing the well-known
representation theorems for quantales and sup-algebras. In addition, we present
some important properties of the category of -sup-algebras.Comment: 6 page
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