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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 the book.

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Book Details

ISBN: 9780521367646
ISBN-10: 0521367646
Format: Paperback
(228mm x 152mm x 19mm)
Pages: 336
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-May-1989
Country of Publication: United Kingdom

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