| Finite Free Resolutions Special and Tea Edition Contributor(s): Northcott, D. G. (Author) |
|
 |
ISBN: 0521604877 ISBN-13: 9780521604871 Publisher: Cambridge University Press OUR PRICE: $66.49 Product Type: Paperback - Other Formats Published: June 2004 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Algebra - General |
| Dewey: 512.55 |
| Series: Cambridge Tracts in Mathematics (Paperback) |
| Physical Information: 0.64" H x 5.5" W x 8.5" (0.80 lbs) 284 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |