Mathematics, Department of

 

Document Type

Article

Date of this Version

2009

Citation

JOURNAL OF COMMUTATIVE ALGEBRA Volume 1, Number 2, Summer 2009

Comments

Copyright 2009 Rocky Mountain Mathematics

DOI:10.1216/JCA-2009-1-2-283

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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