On a Generalization of Pseudo MV-Algebras

Jan Kuhr

Pseudo MV -algebras are a non-commutative version of MV -algebras. In the paper, we regard pseudo MV -algebras as certain bounded dually residuated lattices (called DRl-monoids) satisfying simple additional identities and study (unbounded) DRl-monoids that fulfil these identities. We focus especially the closed ideals (convex subalgebras) of such “unbounded ”pseudo MV -algebras.