Holland’s theorem for pseudo-effect algebras

Anatolij Dvurečenskij

Displaying similar documents to “Holland’s theorem for pseudo-effect algebras”

Lorenzen's theorem for pseudo-effect algebras

Anatolij Dvurečenskij (2004)

Mathematica Slovaca

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States on pseudo-effect algebras with general comparability

Anatolij Dvurečenskij (2004)

Kybernetika

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On pseudo-bci ideals of pseudo-bci algebras

Young Bae Jun, Hee Sik Kim, J. Neggers (2006)

Matematički Vesnik

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Bipartite pseudo MV-algebras

Grzegorz Dymek (2006)

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.

Generalizations of pseudo MV-algebras and generalized pseudo effect algebras

Jan Kühr (2008)

Czechoslovak Mathematical Journal

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We deal with unbounded dually residuated lattices that generalize pseudo $M V$ -algebras in such a way that every principal order-ideal is a pseudo $M V$ -algebra. We describe the connections of these generalized pseudo $M V$ -algebras to generalized pseudo effect algebras, which allows us to represent every generalized pseudo $M V$ -algebra $A$ by means of the positive cone of a suitable $ℓ$ -group $G_{A}$ . We prove that the lattice of all (normal) ideals of $A$ and the lattice of all (normal) convex $ℓ$ -subgroups of...