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Matsumura commutative ring theory
Name: Matsumura commutative ring theory
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8 H. Matsumura Commutative ring theory. 9 C.B. Thomas Characteristic classes and the cohomology of finite groups. 10 M. Aschbacher Finite group theory. Cambridge Core - Algebra - Commutative Ring Theory - by H. Matsumura. 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.
Matsumura: “Commutative Algebra” versus “Commutative Ring Theory” There are two books by Matsumura on commutative algebra. The earlier one is called Commutative Algebra and is frequently cited in Hartshorne. The more recent version is called Commutative Ring Theory and is still in print. References on dimension theory are usually to Robert Ash's A local ring A is a commutative ring with a single maximal ideal (we do not. 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.
Commutative ring theory. HIDEYUKI. MATSUMURA. Department of Mathematics, . Faculty of Sciences. Nagoya University,. Nagoya, Japan. Translated by M. The main goal is to overview the theory of commutative rings. Textbook: Commutative ring theory, by H. Matsumura, Cambridge University Press. Office hours. This is essentially identical to this MathOverflow thread: Matsumura: “ Commutative Algebra” versus “Commutative Ring Theory”.