2008/09/09 by Hummel, Livia, Marley, Thomas
#13D05 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.0809.1595
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.