Inherited Properties of Effect Algebras Preserved by Isomorphisms

Authors

  • Jan Paseka
  • Zdenka Riečanová

DOI:

https://doi.org/10.14311/1815

Keywords:

effect algebras, operator effect algebras, isomorphisms, operator representations of effect algebras

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.

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Author Biographies

  • Jan Paseka
  • Zdenka Riečanová

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Published

2013-01-03

Issue

Vol. 53 No. 3 (2013)

Section

Articles

How to Cite

Paseka, J., & Riečanová, Z. (2013). Inherited Properties of Effect Algebras Preserved by Isomorphisms. Acta Polytechnica, 53(3). https://doi.org/10.14311/1815