PSEUDO-EFFECT ALGEBRAS

Thomas Vetterlein

   As a non-commutative generalization of effect algebras, we introduce pseudo-effect algebras. We list some of their basic properties, and we introduce a property of Riesz type in a similar manner as known for po-groups. We then show that any Riesz pseudo-effect algebra is representable by a unit interval of some po-group.

Keywords: pseudo-effect algebra, effect algebra, po-groups, interval effect algebra

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