Cohen-Macaulay Rings 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Winfried Bruns 作者

Cambridge University Press

譯者

1998-7-28 出版日期

468 頁數

USD 95.00 價格

Paperback

Cambridge Studies in Advanced Mathematics 叢書系列

9780521566742 圖書編碼

Cohen-Macaulay Rings 在線電子書圖書標籤: 數學代數交換代數 Mathematics Algebra 其餘代數7 Commutative_Algebra Algebraic_Combinatorics

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發表於2024-11-22

Cohen-Macaulay Rings 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Cohen-Macaulay Rings 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Cohen-Macaulay Rings 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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交換代數的進階讀物，讀完大半本Matsumura後可以入手，前四章強化基本理論，第五章與組閤交換代數相銜接，此外還包括局部上同調，代數不變量理論、大Cohen-Macaulau模，tight closure等諸多領域的導引，此後不管往哪裏走都很方便的啊~

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Cohen-Macaulay Rings 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Cohen-Macaulay Rings 在線電子書圖書描述

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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