Commutative Ring Theory

Name: Commutative Ring Theory
Price: 58.16 USD
Availability: InStock
ISBN: 9780521367646

ISBN-10: 0521367646

ISBN-13: 9780521367646

Edition: N/A

Authors: Hideyuki Matsumura, B. Bollobas, W. Fulton, A. Katok, F. Kirwan

List price: $84.99

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Description:

In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of…

Book details

List price: $84.99
Publisher: Cambridge University Press
Publication date: 5/25/1989
Binding: Paperback
Pages: 336
Size: 6.00" wide x 9.25" long x 0.75" tall
Weight: 1.342
Language: English



Preface


Introduction


Conventions and terminology



Commutative rings and modules



prime ideals



Properties of extension rings



Valuation rings



Dimension theory



Regular sequences



Regular rings



Flatness revisited



Derivations



I-smoothness



Applications of complete local rings


Appendices


References


Index.