Commutative Ring Theory - Brossura

Matsumura, H.

Brossura

ISBN 10: 0521367646 ISBN 13: 9780521367646

Casa editrice: Cambridge University Press, 2009

Riassunto

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.

Su questo libro

Recensione:

"...an absolutely essential companion to researchers in commutative algebra and an important reference for those in neighboring fields." American Scientist

Descrizione del libro:

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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• ISBN 10: 0521367646
• ISBN 13: 9780521367646
• Rilegatura: Copertina flessibile
• Numero di pagine: 336