The Auslander-Bridger formula and the Gorenstein property for coherent rings
classification
🧮 math.AC
keywords
coherentgorensteinauslander-bridgerfinitelyformulamodulesringrings
read the original abstract
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 of coherent Gorenstein rings.
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