2 papers
math.AC2008
Beyond Totally Reflexive Modules and Back
Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm
Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein homological dimensions for modules over commutative rings. The account includes the theory…
math.AC2002
Depth and amplitude for unbounded complexes
H. -B. Foxby, S. Iyengar
We prove that over a commutative noetherian ring the three approaches to introducing depth for complexes: via Koszul homology, via Ext modules, and via local cohomology, all yield…