We show that any pseudo MV-algebra is isomorphic with an interval
$\Gamma(G,u)$, where $G$ is an $\ell$-group not necessary Abelian
with a strong unit $u$. In addition, we prove that the category of
unital $\ell$-groups is categorically equivalent with the category
of pseudo MV-algebras. Since pseudo MV-algebras are a
non-commutative generalization of pseudo MV-algebras, our assertions
generalize a famous result of Mundici for representation of
MV-algebras by Abelian unital $\ell$-groups. Our methods are
completely different of Mundici's ones. In addition, we showed that
any Archimedean pseudo MV-algebra is an MV-algebra.
