Abstract:
Let G be a finite group and let = g2G g be a strongly G-graded R-algebra, where R is a commutative ring with unity. We prove that if R is a Dedekind domain with quotient field
K, is an R-order in a separable K-algebra such that the algebra
1 is a Gorenstein R-order, then is also a Gorenstein R-order.
Moreover, we prove that the induction functor ind : Mod H !
Mod defined in Section 3, for a subgroup H of G, commutes with
the standard duality functor
