Commutative Ring Theory by H Matsumura

Commutative Ring Theory by H Matsumura

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Zusammenfassung

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 Nicht verfügbar
ISBN 13 9780521367646
ISBN 10 0521367646
Titel Commutative Ring Theory
Autor H Matsumura
Serie Cambridge Studies In Advanced Mathematics
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag Cambridge University Press
Erscheinungsjahr 1989-05-25
Seitenanzahl 336
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar