Ext vanishing and infinite Auslander-Buchsbaum

2003/04/14 by Peter Jørgensen, Peter Jorgensen, Jorgensen, Peter
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.RA #msc:16E30 #msc:16W50

paper · pdf · doi:10.48550/arxiv.math/0304168

8 pages

arxiv created 2003/04/14 · arxiv updated 2009/11/30

Abstract

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.

Related

• Noncommutative Auslander theorem
• Symmetry theorems for Ext vanishing
• Two theorems on the vanishing of Ext
• Auslander--Reiten conjecture for normal rings
• Some remarks on Ext groups