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AN INTRODUCTION TO COMMUTATIVE ALGEBRA
From the Viewpoint of Normalization
by Huishi Li (Jiaying University, China)
Designed for a one-semester course in mathematics, this textbook presents a concise and practical introduction to commutative algebra in terms of normal (normalized) structure. It shows how the nature of commutative algebra has been used by both number theory and algebraic geometry. Many worked examples and a number of problem (with hints) can be found in the volume. It is also a convenient reference for researchers who use basic commutative algebra.
Contents:
- Local Rings, DVRs, and Localization
- Integral Extensions and
Normalization
- The Ring AK in K = ℚ(ϑ)
- Algebraic Geometry
Readership: Graduate students in algebra and number theory.
“The text comes complete with useful examples and exercises ... the student will appreciate this enthusiastic account of core classical topics at the heart of commutative algebra.”
| 188pp |
Pub. date: Aug 2004 |
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