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The concept of Gorenstein dimension, defined by Auslander and Bridger forfinitely generated modules over a Noetherian ring, is studied in the context offinitely presented modules over a coherent ring. A generalization of theAuslander-Bridger formula is established and is used as a cornerstone in thedevelopment of a theory of coherent Gorenstein rings.

The Auslander-Bridger formula and the Gorenstein property For coherent rings