Lorenzen's theorem for pseudo-effect algebras
Anatolij Dvurečenskij (2004)
Mathematica Slovaca
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Discussiones Mathematicae - General Algebra and Applications
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A bipartite pseudo MV-algebra A is a pseudo MV-algebra such that A = M ∪ M ̃ for some proper ideal M of A. This class of pseudo MV-algebras, denoted BP, is investigated. The class of pseudo MV-algebras A such that A = M ∪ M ̃ for all maximal ideals M of A, denoted BP₀, is also studied and characterized.