Items related to Commutative Ring Theory (Cambridge Studies in Advanced...
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 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.
Language Notes:
Text: English, Japanese (translation)
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1987
- ISBN 10 0521259169
- ISBN 13 9780521259163
- BindingHardcover
- Edition number1
- Number of pages336
- Rating
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