Cohen-Macaulay Rings 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Winfried Bruns 作者

Cambridge University Press

译者

1998-7-28 出版日期

468 页数

USD 95.00 价格

Paperback

Cambridge Studies in Advanced Mathematics 丛书系列

9780521566742 图书编码

Cohen-Macaulay Rings 在线电子书图书标签: 数学代数交换代数 Mathematics Algebra 其余代数7 Commutative_Algebra Algebraic_Combinatorics

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Cohen-Macaulay Rings 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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交换代数的进阶读物，读完大半本Matsumura后可以入手，前四章强化基本理论，第五章与组合交换代数相衔接，此外还包括局部上同调，代数不变量理论、大Cohen-Macaulau模，tight closure等诸多领域的导引，此后不管往哪里走都很方便的啊~

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Cohen-Macaulay Rings 在线电子书著者简介

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Cohen-Macaulay Rings 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Cohen-Macaulay Rings 在线电子书图书描述

In the last two decades Cohen-Macaulay rings and modules have been central topics in commutative algebra. This book meets the need for a thorough, self-contained introduction to the homological and combinatorial aspects of the theory of Cohen-Macaulay rings, Gorenstein rings, local cohomology, and canonical modules. A separate chapter is devoted to Hilbert functions (including Macaulay's theorem) and numerical invariants derived from them. The authors emphasize the study of explicit, specific rings, making the presentation as concrete as possible. So the general theory is applied to Stanley-Reisner rings, semigroup rings, determinantal rings, and rings of invariants. Their connections with combinatorics are highlighted, e.g. Stanley's upper bound theorem or Ehrhart's reciprocity law for rational polytopes. The final chapters are devoted to Hochster's theorem on big Cohen-Macaulay modules and its applications, including Peskine-Szpiro's intersection theorem, the Evans-Griffith syzygy theorem, bounds for Bass numbers, and tight closure. Throughout each chapter the authors have supplied many examples and exercises which, combined with the expository style, will make the book very useful for graduate courses in algebra. As the only modern, broad account of the subject it will be essential reading for researchers in commutative algebra.

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