51 citations · 264 across the 70 of their papers we have counts for
7 papers · 1 filter
Symmetric Auslander and Bass categories
Peter Jorgensen, Kiriko Kato
We define the symmetric Auslander category A^s(R) to consist of complexes of projective modules whose left- and right-tails are equal to the left- and right tails of totally acycli…
Cotorsion pairs induced by duality pairs
Henrik Holm, Peter Jorgensen
We introduce the notion of a duality pair and demonstrate how the left half of such a pair is often covering and preenveloping. As an application, we generalize a result by Enochs…
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…
Compactly generated homotopy categories
Henrik Holm, Peter Jørgensen
Over an associative ring we consider a class of left modules which is closed under set-indexed coproducts and direct summands. We investigate when the triangulated hom…
Semi-dualizing modules and related Gorenstein homological dimensions
Henrik Holm, Peter Jorgensen
A semi-dualizing module over a commutative noetherian ring A is a finitely generated module C with RHom_A(C,C) \simeq A in the derived category D(A). We show how each such module g…
Cohen-Macaulay injective, projective, and flat dimension
Henrik Holm, Peter Jorgensen
We define three new homological dimensions - Cohen-Macaulay injective, projective, and flat dimension - which inhabit a theory similar to that of classical injective, projective, a…
Recognizing dualizing complexes
Peter Jorgensen
Let A be a noetherian local commutative ring and let M be a suitable complex of A-modules. This paper proves that M is a dualizing complex for A if and only if the trivial extensio…