An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert's famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules. The introduction of a wider class of resolutions led to a theory rich in results, but in the process certain special properties of finite free resolutions were overlooked.
D. A. Buchsbaum and D.
Eisenbud have shown that finite free resolutions have a fascinating structure theory. This has revived interest in the simpler kind of resolution and caused the subject to develop rapidly. This Cambridge Tract attempts to give a genuinely self-contained and elementary presentation of the basic theory, and to provide a sound foundation for further study.
The text contains a substantial number of exercises. These enable the reader to test his understanding and they allow the subject to be developed more rapidly. Each chapter ends with the solutions to the exercises contained in it.
| ISBN: | 9780521604871 |
| Publication date: | 3rd June 2004 |
| Author: | D G Northcott |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 284 pages |
| Series: | Cambridge Tracts in Mathematics |
| Genres: |
Algebra |
An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert's famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules.
Finite Free Resolutions features in the following genres: Algebra
Paperback, Hardback. £53.10, down from the £59.00 cover price. Not Available.
Finite Free Resolutions was written by D G Northcott and published by Cambridge University Press
Finite Free Resolutions has 284 pages
Yes it is part of Cambridge Tracts in Mathematics series
£53.10, reduced from £59.00. Not Available.