Commutative Ring Theory Matsumura Hideyuki
Commutative Ring Theory Matsumura Hideyuki 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…
Specifikacia Commutative Ring Theory Matsumura Hideyuki
Commutative Ring Theory Matsumura Hideyuki
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. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings.
Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the 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.