Finite Free Resolutions
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Finite Free Resolutions by D. G. Northcott
Book DescriptionAn 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.
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Book DetailsISBN: 9780521604871
(216mm x 138mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 3-Jun-2004
Country of Publication: United Kingdom
Books By Author D. G. Northcott
Multilinear Algebra, Paperback (January 2009)
The aim of this book is to provide a readable and systematic account of multilinear algebra at a level suitable for graduate students.
Introduction to Homological Algebra, Paperback (January 2009)
This book is designed with the needs and problems of the beginner in mind, but will also be a useful work of reference for specialists.
Lessons on Rings, Modules and Multiplicities, Paperback (December 2008)
This volume provides a clear and self-contained introduction to important results in the theory of rings and modules.
Ideal Theory, Paperback (June 2004)» View all books by D. G. Northcott
An introduction to the modern theory of ideas.
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