Commutative Ring Theory 交换环论剑桥高等数学研究系列

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作者H. Matsumura

出版社Cambridge University Press

ISBN9780521367646

出版时间2007-04

装帧平装

定价936元

货号YB-70233

上书时间2024-03-10

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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.