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portada Finite Free Resolutions Paperback (Cambridge Tracts in Mathematics)
Type
Physical Book
Publisher
Author
Year
2004
Language
English
Pages
284
Format
Paperback
ISBN
0521604877
ISBN13
9780521604871
Categories

Finite Free Resolutions Paperback (Cambridge Tracts in Mathematics)

D. G. Northcott (Author) · Cambridge University Press · Paperback

Finite Free Resolutions Paperback (Cambridge Tracts in Mathematics) - D. G. Northcott

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Synopsis "Finite Free Resolutions Paperback (Cambridge Tracts in Mathematics) "

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.

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