ENGLISH

Commutative Ring Theory

By Hideyuki Matsumura

Book information

Publisher
Cambridge University Press
Year
1989
ISBN
0521259169, 9780521259163, 0521367646, 9780521367646
LCC
QA251.3 .M37213 1986
Language
english
Format
PDF
Filesize
18 MB (18808040 bytes)
Series
Cambridge Studies in Advanced Mathematics 8
Edition
1
Pages
336\336
Orientation
yes
Scanned
yes
Time added
2012-02-04 16:00:00

Description

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.

Similar books