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math-ph2010
Sharply Orthocomplete Effect Algebras
Martin Kalina, Jan Paseka, Zdenka Riečanová
Special types of effect algebras called sharply dominating and S-dominating were introduced by S. Gudder in \cite{gudder1,gudder2}. We prove statements about connections betwee…
math-ph2010★ 2 cited
Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
Jan Paseka
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 effe…
math-ph2009★ 7 cited
Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras
Jan Paseka, Zdenka Riecanova, Wu Junde
We prove that the interval topology of an Archimedean atomic lattice effect algebra is Hausdorff whenever the set of all atoms of is almost orthogonal. In such a case i…