Kybernetika 46 no. 6, 996-1008, 2010

Compatibility and central elements in pseudo-effect algebras

Paolo Vitolo

Abstract:

An equivalent definition of compatibility in pseudo-effect algebras is given, and its relationships with central elements are investigated. Furthermore, pseudo-MV-algebras are characterized among pseudo-effect algebras by means of compatibility.

Keywords:

central element, pseudo-effect algebra, lattice pseudo-effect algebra, pseudo-MV-algebra, compatible elements

Classification:

06C15, 03G12

References:

  1. A.~Avallone, G.~Barbieri and P.~Vitolo.: Central elements in pseudo-D-lattices and Hahn decomposition theorem. Boll. Unione Mat. Ital. 9 (2010), III(3), 447-470.   CrossRef