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

Details The Auslander-Bridger formula and the Gorenstein property for coherent rings The Auslander-Bridger formula and the Gorenstein property for coherent rings

2008-09-09

arxiv.org/abs/0809.1595v2

Mathematics

Commutative Algebra

28 pages

Scientific paper

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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