Duality theorems for crossed products over rings

In this paper we improve and extend duality theorems for crossed products obtained by M. Koppinen (C. Chen) from the case of base fields (Dedekind domains) to the case of arbitrary Noetherian commutative ground rings under fairly weak conditions. In particular we extend an improved version of the celebrated Blattner–Montgomery duality theorem to the case of arbitrary Noetherian commutative ground rings.