Commutative ring theory
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 k…
Read More ↓Title Statements
- Full title :Commutative ring theory / Hideyuki Matsumura. Transl. by M. Reid
Summary
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.
Read More ↓Edition Statements
- Publication Date:1997
- Edition:Reprint
Publication Statements
- Publisher(s):Cambridge Univ. Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:1997
Notes
Includes index
The Physical Object
- Description:XIII, 320 Seiten
Edition Identifiers
- ISBN:0521367646, 9780521367646
- oclc:ocn245957844
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