Finite Free Resolutions
Part of Cambridge Tracts in Mathematics
- Author: D. G. Northcott
- Date Published: April 2011
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9780511865077
Find out more about Cambridge eBooks
Adobe eBook Reader
Other available formats:
Paperback
Looking for an inspection copy?
This title is not currently available on inspection
-
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.
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: April 2011
- format: Adobe eBook Reader
- isbn: 9780511865077
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
Preface
1. Matrices and determinants
2. Free modules
3. The invariants of fitting and macrae
4. Stability and finite free resolutions
5. Latent non-zerodivisors
6. Grade and finite free resolutions
7. The multiplicative structure
Appendices
References
General index
Index of special symbols.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×