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Showing 2003 · math.RAShow all
3 papers · 2 filters
math.RA2003★ 1 cited
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…
math.RA2003
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.
math.RA2003
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…