LECTURE NOTES ON LOCAL RINGS - Hardcover

Iversen Birger

 
9789814603652: LECTURE NOTES ON LOCAL RINGS
Hardcover
ISBN 10: 9814603651 ISBN 13: 9789814603652
Publisher: World Scientific Publishing Company, 2014

Synopsis

The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.

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Review

"This is a very nice text on some important topics on commutative ring theory." -- Mathematical Association of America

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Publisher
World Scientific Publishing Company
Publication date
2014
Language
English
ISBN 10 
9814603651
ISBN 13 
9789814603652
Binding
Hardcover
Edition number
1
Number of pages
224