Finite Free Resolutions 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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D. G. Northcott 作者

Cambridge University Press

译者

2004-6-3 出版日期

284 页数

USD 64.00 价格

Paperback

Cambridge Tracts in Mathematics 丛书系列

9780521604871 图书编码

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Finite Free Resolutions 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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.

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