1-Dimensional Cohen-Macaulay Rings

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Edition: 1

Series: Lecture Notes in Mathematics 327

ISBN: 9780387063270, 0-387-06327-7

Size: 1009 kB (1032856 bytes)

Pages: 160/172

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Eben Matlis (auth.)9780387063270, 0-387-06327-7


Table of contents :
h-Divisible and cotorsion modules….Pages 1-10
Completions….Pages 11-27
Compatible extensions….Pages 28-33
Localizations….Pages 34-41
Artinian divisible modules….Pages 42-55
Strongly unramified ring extensions….Pages 56-67
The closed components of R….Pages 68-78
Simple divisible modules….Pages 79-84
Semi-simple and uniserial divisible modules….Pages 85-89
The integral closure….Pages 90-95
The primary decomposition….Pages 96-102
The first neighborhood ring….Pages 103-115
Gorenstein rings….Pages 116-125
Multiplicities….Pages 126-140
The canonical ideal of R….Pages 141-152

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