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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.AC2008
Rings without a Gorenstein analogue of the Govorov-Lazard Theorem
Henrik Holm, Peter Jorgensen
It was proved by Beligiannis and Krause that over certain Artin algebras, there are Gorenstein flat modules which are not direct limits of finitely generated Gorenstein projective…