Commutative Ring Theory (Cambridge Studies in Advanced Mathematics Book 8) 1st Edition by H. Matsumura (PDF)

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Great book as a reference when reading paper about algebraic geometry

⭐It’s a classic book. Every Algebrist need study in this book!

⭐A great transition from elementary to advanced comm. ring theory: goes into greater details than Reid’s Undergrad Comm. Alg. and Atiyah-MacDonald’s Intro. to Comm. Alg. The proofs are clear and concise and the text is well-organized.

⭐

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