Abstract

Let R be a local Dedekind domain with quotient field K and let Λ be a R-order in a separable K-algebra A. This paper considers those orders Λ that are Gorenstein and that can be written as pullback of R-torsionfree Λ-modules. If the algebra A has nontrivial central idempotents, then we give a characterization for Gorenstein orders. Further, if R is complete and Λ is a local order with finite representation type such that every uniform R-torsionfree Λ-module is tame, then the pullback structure of a Gorenstein order can also be explicitly described.

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