Ext vanishing and infinite Auslander-Buchsbaum
HTML articles powered by AMS MathViewer
- by Peter Jørgensen
- Proc. Amer. Math. Soc. 133 (2005), 1335-1341
- DOI: https://doi.org/10.1090/S0002-9939-04-07691-9
- Published electronically: December 6, 2004
- PDF | Request permission
Abstract:
A vanishing theorem is proved for Ext groups over non-commuta- tive graded algebras. Along the way, an “infinite” version is proved of the non-commutative Auslander-Buchsbaum theorem.References
- Anders Frankild, Vanishing of local homology, Math. Z. 244 (2003), no. 3, 615–630. MR 1992028, DOI 10.1006/jabr.1993.1035
- Peter Jørgensen, Gorenstein homomorphisms of noncommutative rings, J. Algebra 211 (1999), no. 1, 240–267. MR 1656580, DOI 10.1006/jabr.1998.7608
- Peter Jørgensen, Non-commutative graded homological identities, J. London Math. Soc. (2) 57 (1998), no. 2, 336–350. MR 1644217, DOI 10.1112/S0024610798006164
- Joseph J. Rotman, An introduction to homological algebra, Pure and Applied Mathematics, vol. 85, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1979. MR 538169
Bibliographic Information
- Peter Jørgensen
- Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
- Email: popjoerg@maths.leeds.ac.uk
- 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
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1335-1341
- MSC (2000): Primary 16E30, 16W50
- DOI: https://doi.org/10.1090/S0002-9939-04-07691-9
- MathSciNet review: 2111939