ENGLISH

Finite Free Resolutions

By D. G. Northcott

Book information

Publisher
Cambridge University Press
Year
2004
ISBN
9780521604871, 9780521211550, 9780511565892, 0521604877, 0521211557, 0511565895
LCC
QA169 .N66
Open Library ID
OL5205672M
Language
english
Format
DJVU
Filesize
1 MB (1103716 bytes)
Series
Cambridge Tracts in Mathematics
Pages
281\281
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

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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