\mathbb H-perfect Pseudo MV-algebras and Their Representations

2013/04/02 by Dvurečenskij, Anatolij
#03G12 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1304.0743

Abstract

We study \mathbb H-perfect pseudo MV-algebras, that is, algebras which can be split into a system of ordered slices indexed by the elements of an subgroup \mathbb H of the group of the real numbers. We show when they can be represented as a lexicographic product of \mathbb H with some ℓ-group. In addition, we show also a categorical equivalence of this category with the category of ℓ-groups.

Related

• Pseudo MV-algebras and Lexicographic Product
• Lexicographic Pseudo MV-algebras
• Lexicographic Product vs \mathbb Q-perfect and \mathbb H-perfect Pseudo Effect Algebras
• Kites and representations of pseudo MV-algebras
• Representation and Embedding of Pseudo MV-algebras with Square Roots I. Strict Square Roots