Commutative Ring Theory (Cambridge Studies in Advanced Mathematics, Series Number 8) (Volume 0)

Matsumura, H.

ISBN 10: 0521367646 / ISBN 13: 9780521367646

Published by Cambridge University Press, 1989

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Bibliographic Details

• Title: Commutative Ring Theory (Cambridge Studies in Advanced Mathematics, Series Number 8) (Volume 0)
• Publisher: Cambridge University Press
• Publication Date: 1989
• Language: English
• ISBN 10: 0521367646
• ISBN 13: 9780521367646
• Binding: Soft cover
• Condition: like_new

About this title

Synopsis

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.

Book Description

Commutative ring theory is important as a foundation for algebraic and complex analytical geometry and this text covers the basic material with a solid knowledge of modern algebra as the only prerequisite.