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math.RA2010
Lattice pseudo-effect algebras as double residuated structures
David J. Foulis, Sylvia Pulmannova, Elena Vincekova
Pseudo-effect algebras are partial algebraic structures, that were introduced as a non-commutative generalization of effect algebras. In the present paper, lattice ordered pseudo-e…
math.RA2010★ 16 cited
Type-Decomposition of a Pseudo-Effect Algebra
David Foulis, Sylvia Pulmannová, Elena Vincekova
The theory of direct decomposition of a centrally orthocomplete effect algebra into direct summands of various types utilizes the notion of a type-determining (TD) set. A pseudo-ef…