ℍ-Perfect Pseudo MV-Algebras and Their Representations
Anatolij Dvurečenskij · Mathematica Slovaca · 2015
Abstract We study 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 ℍ of the group of the real numbers. We show when they can be represented as a lexicographic product of ℍ with some ℓ-group. In addition, we show also a categorical equivalence of this category with the category of ℓ-groups.