The Auslander-Reiten translation in submodule categories

Let A be an artin algebra or, more generally, a locally bounded associative algebra, and S(Λ) the category of all embeddings (A C B) where B is a finitely generated A-module and A is a submodule of B. Then S(Λ) is an exact Krull-Schmidt category which has Auslander-Reiten sequences. In this manuscript we show that the Auslander-Reiten translation in S(Λ) can be computed within mod A by using our construction of minimal monomorphisms. If in addition A is uniserial, then any indecomposable nonprojective object in S(Λ) is invariant under the sixth power of the Auslander-Reiten translation.