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math-ph2012
The exocenter and type decomposition of a generalized pseudoeffect algebra
David J. Foulis, Sylvia Pulmannova, Elena Vincekova
We extend to a generalized pseudoeffect algebra (GPEA) the notion of the exocenter of a generalized effect algebra (GEA) and show that elements of the exocenter are in one-to-one c…
math-ph2012
Dimension theory for generalized effect algebras
David J. Foulis, Sylvia Pulmannova
In this paper we define and study dimension generalized effect algebras (DGEAs), i.e., Dedekind orthocomplete and centrally orthocomplete generalized effect algebras equipped with…