%0 Journal Article %T $\mathbb H$-perfect Pseudo MV-algebras and Their Representations %A Anatolij Dvure£¿enskij %J Mathematics %D 2013 %I arXiv %X 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 $\ell$-group. In addition, we show also a categorical equivalence of this category with the category of $\ell$-groups. %U http://arxiv.org/abs/1304.0743v1