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Cambridge Tracts in Mathematics : Finite Free Resolutions Series Number 71 - D. G. Northcott

Cambridge Tracts in Mathematics

Finite Free Resolutions Series Number 71

Paperback Published: 26th July 2004
ISBN: 9780521604871
Number Of Pages: 284

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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.

Preface
Matrices and determinants
Free modules
The invariants of fitting and macrae
Stability and finite free resolutions
Latent non-zerodivisors
Grade and finite free resolutions
The multiplicative structure
Appendices
References
General index
Index of special symbols
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521604871
ISBN-10: 0521604877
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 284
Published: 26th July 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 21.6 x 14.0  x 1.6
Weight (kg): 0.36

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