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math.LO2015
Unitizations of generalized pseudo effect algebras and their ideals
David J. Foulis, Sylvia Pulmannova, Elena Vincekova
A generalized pseudo effect algebra (GPEA) is a partially ordered partial algebraic structure with a smallest element 0, but not necessarily with a unit (i.e, a largest element). I…
math.LO2005
Logic and Partially Ordered Abelian Groups
David J. Foulis
The unit interval in a partially ordered abelian group with order unit forms an interval effect algebra (IEA) which can be regarded as an algebraic model for the semantics of a for…