"THE AUSLANDER-BRIDGER FORMULA AND THE GORENSTEIN PROPERTY FOR COHERE" by Livia Hummel and Thomas Marley

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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