Publication details

Inherited Properties of Effect Algebras Preserved by Isomorphisms

Authors

PASEKA Jan RIEČANOVÁ Zdenka

Year of publication 2013
Type Article in Periodical
Magazine / Source Acta Polytechnica
MU Faculty or unit

Faculty of Science

Citation
Web http://ojs.cvut.cz/ojs/index.php/ap/article/view/1815
Field General mathematics
Keywords Effect algebras; operator effect algebras; isomorphisms; operator representations of effect algebras
Description 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.

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