Commutative Ring Theory (Broché)

In addition to being a beautiful and deep subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytic geometry. This graduate textbook covers the basic material, including dimension theory, depth, Cohen-Macaulay rings. Gorenstein rings, Krull rings and valuation rings, but it is distinguished from other introductions by the coverage of advanced topics such as Ratliff's theorems on chains of prime ideals.
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, to some of them, solutions or hints are given at the end of the book. Consequently, it can be used by the graduate students taking courses in commutative algebra, algebraic geometry or complex analytic geometry, but will also serve as an introduction to these subjects for the non-specialist.