51 citations · 264 across the 70 of their papers we have counts for
5 papers · 2 filters
The Gorenstein projective modules are precovering
Peter Jorgensen
The Gorenstein projective modules are proved to form a precovering class in the module category of a ring which has a dualizing complex.
The homotopy category of complexes of projective modules
Peter Jorgensen
The homotopy category of complexes of projective left-modules over any reasonably nice ring is proved to be a compactly generated triangulated category, and a duality is given betw…
Finite flat and projective dimension
Peter Jorgensen
Over a right-noetherian algebra admitting a dualizing complex, any left-module with finite flat dimension also has finite projective dimension.
Linear free resolutions over non-commutative algebras
Peter Jorgensen
This paper shows among other things that over a non-commutative Koszul algebra, high truncations of finitely generated graded modules have linear free resolutions.
Ext vanishing and infinite Auslander-Buchsbaum
Peter Jorgensen
A vanishing theorem is proved for Ext groups over non-commutative graded algebras. Along the way, an "infinite" version is proved of the non-commutative Auslander-Buchsbaum theorem…