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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Ext vanishing and infinite Auslander-Buchsbaum


Author: Peter Jørgensen
Journal: Proc. Amer. Math. Soc. 133 (2005), 1335-1341
MSC (2000): Primary 16E30, 16W50
Published electronically: December 6, 2004
MathSciNet review: 2111939
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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.


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Additional Information

Peter Jørgensen
Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
Email: popjoerg@maths.leeds.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07691-9
PII: S 0002-9939(04)07691-9
Keywords: $k$-flat dimension, depth, infinite non-commutative Auslander-Buchsbaum theorem, Ext groups, vanishing theorem
Received by editor(s): June 10, 2003
Received by editor(s) in revised form: February 2, 2004
Published electronically: December 6, 2004
Communicated by: Martin Lorenz
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.