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

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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2024-12-25

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

图书描述

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.

Finite Free Resolutions 下载 mobi epub pdf txt 电子书