Commutative ring theory by H. Matsumura, Miles Reid

Commutative ring theory



Download Commutative ring theory




Commutative ring theory H. Matsumura, Miles Reid
Language: English
Page: 329
Format: djvu
ISBN: 0521367646, 9780521367646
Publisher: Cambridge University Press

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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