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arXiv · 0809.1595

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

Livia Hummel·Thomas Marley
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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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Livia Hummel, Thomas Marley. 2009-02-09. The Auslander-Bridger formula and the Gorenstein property for coherent rings. https://arxiv.org/abs/0809.1595

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