Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
Mathematical Physics
2010-01-11 v1 math.MP
Rings and Algebras
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1001.1322,
title = {Modularity, Atomicity and States in Archimedean Lattice Effect Algebras},
author = {Jan Paseka},
journal= {arXiv preprint arXiv:1001.1322},
year = {2010}
}