The Auslander-Bridger formula and the Gorenstein property For coherent rings
The Auslander-Bridger formula and the Gorenstein property For coherent rings
The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generated modules over a Noetherian ring, is studied in the context of finitely presented modules over a coherent ring.A generalization of the Auslander-Bridger formula is established and is used as a cornerstone in the development of a theory …