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Finite Free Resolutions

Name: Finite Free Resolutions
Brand: Cambridge University Press
SKU: 02037178
Price: 75.12 EUR
Availability: InStock
Author: D. G. Northcott
ISBN: 9780521604871

D. G. Northcott

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 02037178

Nakladateľstvo Cambridge University Press, jún 2004

An important part of homological algebra deals with modules possessing projective resolutions of fin... Celý popis

Libristo kód: 02037178

182 b

75.12 €

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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.