Inherited Properties of Effect Algebras Preserved by Isomorphisms

Jan Paseka, Zdenka Riečanová

Abstract


We show that isomorphism of effect algebras preserves properties of effect algebras derived from effect algebraic sum ? of elements. These are partial order, order convergence, order topology, existence of states and other important properties. However, there are properties of effect algebras for which the preservation of the ?-operation is not substantial and they need not be preserved.

Keywords


effect algebras; operator effect algebras; isomorphisms; operator representations of effect algebras

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague