Commutative Ring Theory by H Matsumura

Commutative Ring Theory by H Matsumura

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Summary

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.

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Commutative Ring Theory by H Matsumura

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.
"..an absolutely essential companion to researchers in commutative algebra and an important reference for those in neighboring fields." American Scientist
SKU Unavailable
ISBN 13 9780521367646
ISBN 10 0521367646
Title Commutative Ring Theory
Author H Matsumura
Series Cambridge Studies In Advanced Mathematics
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 1989-05-25
Number of pages 336
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable