Finite Free Resolutions pdf epub mobi txt 电子书 下载 2024


Finite Free Resolutions

简体网页||繁体网页
D. G. Northcott
Cambridge University Press
2004-6-3
284
USD 64.00
Paperback
Cambridge Tracts in Mathematics
9780521604871

图书标签: 数学  其余代数7  代数  交换代数   


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发表于2024-11-25

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

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

Finite Free Resolutions pdf epub mobi txt 电子书 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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