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Cambridge Studies in Advanced Mathematics #0012: Cohen-Macaulay Rings

by

Cambridge Studies in Advanced Mathematics #0012: Cohen-Macaulay Rings Cover

 

Synopses & Reviews

Publisher Comments:

In the past 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 subject. The authors emphasize the study of explicit, specific rings, making the presentation as concrete as possible. The general theory is applied to a number of examples and the connections with combinatorics are highlighted. Throughout each chapter, the authors have supplied many examples and exercises.

Synopsis:

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. 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.

Synopsis:

'This book meets the need for a thorough, concrete, self-contained introduction to the subject. Throughout each chapter the authors have supplied many examples and exercises, which makes the book very useful for graduate courses in algebra. As the only modern, broad account of the subject it will be essential reading for specialists also.\n

'

Synopsis:

This text emphasizes the study of explicit, specific rings, making the presentation as concrete as possible. The general theory is applied to a number of examples and the connections with combinatorics are highlighted. Throughout each chapter are many examples and exercises.

Synopsis:

'The only modern, broad account of the subject; essential for graduate students and specialists.'

Synopsis:

Now in paperback, this advanced text on Cohen-Macaulay rings has been updated and expanded.

Table of Contents

1. Regular sequences and depth; 2. Cohen-Macaulay rings; 3. The canonical module. Gorenstein rings; 4. Hilbert functions and multiplicities; 5. Stanley-Reisner rings; 6. Semigroup rings and invariant theory; 7. Determinantal rings; 8. Big Cohen-Macaulay modules; 9. Homological theorems; 10. Tight closure.

Product Details

ISBN:
9780521566742
Author:
Bruns, Winfried
Author:
Bruns
Author:
Kirwan, F.
Author:
Fulton, W.
Author:
rgen Herzog
Author:
Katok, A.
Author:
Herzog, H. J
Author:
Sarnak, P.
Author:
U
Author:
rgen
Author:
H. J
Author:
Bollobas, B.
Author:
Herzog, H. J|rgen
Author:
Jurgen
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Algebra - General
Subject:
Mathematics - Algebra
Edition Number:
2
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics (Paperback)
Series Volume:
39
Publication Date:
20050831
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
468
Dimensions:
9.02x6.11x1.15 in. 1.47 lbs.

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Related Subjects

History and Social Science » World History » General
Science and Mathematics » Mathematics » Algebra » General

Cambridge Studies in Advanced Mathematics #0012: Cohen-Macaulay Rings New Trade Paper
0 stars - 0 reviews
$104.25 In Stock
Product details 468 pages Cambridge University Press - English 9780521566742 Reviews:
"Synopsis" by , 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. 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.
"Synopsis" by , 'This book meets the need for a thorough, concrete, self-contained introduction to the subject. Throughout each chapter the authors have supplied many examples and exercises, which makes the book very useful for graduate courses in algebra. As the only modern, broad account of the subject it will be essential reading for specialists also.\n

'

"Synopsis" by , This text emphasizes the study of explicit, specific rings, making the presentation as concrete as possible. The general theory is applied to a number of examples and the connections with combinatorics are highlighted. Throughout each chapter are many examples and exercises.
"Synopsis" by , 'The only modern, broad account of the subject; essential for graduate students and specialists.'
"Synopsis" by , Now in paperback, this advanced text on Cohen-Macaulay rings has been updated and expanded.
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