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Inherited Properties of Effect Algebras Preserved by Isomorphisms
Autoři | |
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Rok publikování | 2013 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Acta Polytechnica |
Fakulta / Pracoviště MU | |
Citace | |
www | http://ojs.cvut.cz/ojs/index.php/ap/article/view/1815 |
Obor | Obecná matematika |
Klíčová slova | Effect algebras; operator effect algebras; isomorphisms; operator representations of effect algebras |
Popis | 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. |