Commutative Ring Theory - Cambridge Studies in Advanced Mathematics
Commutative Ring Theory - Cambridge Studies in Advanced Mathematics
paperback | English
Published:
25 May, 1989
paperback | English
Published:
25 May, 1989
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Description
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.
More Details
| Type | Book |
|---|---|
| ISBN13 | 9780521367646 |
| ISBN10 | 0521367646 |
| Number Of Pages | 336 |
| Item Weight | 450 g |
| Product Dimensions | 153 x 229 x 18 mm |
| Publisher / Reseller | Cambridge University Press |
| Format | paperback |
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Media Reviews
"...an absolutely essential companion to researchers in commutative algebra and an important reference for those in neighboring fields." American Scientist