基本信息
- 原书名：A First Course in Noncommutative Rings 2nd edition
- 原出版社： Springer
- 作者： Tsit Yuen Lam
- 丛书名： 数学图书影印版系列
- 出版社：清华大学出版社
- ISBN：9787302241515
- 上架时间：2011-1-10
- 出版日期：2010 年12月
- 开本：16开
- 页码：385
- 版次：2-1
- 所属分类：数学 > 代数，数论及组合理论 > 综合
内容简介
书籍
数学书籍
A First Course in Noncommutative Rings, an outgrowth of the author' s lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings, Jacobson' s theory of the radical, representation theory of groups and algebras, prime and semiprime rings, primitive and semiprimitive rings, division rings, ordered rings, local and semilocal rings, perfect and semiperfect rings, and so forth. By aiming the level of writing at the novice rather than the connoisseur and by stressing the role of examples and motivation, the author has produced a text that is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.
数学书籍
A First Course in Noncommutative Rings, an outgrowth of the author' s lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings, Jacobson' s theory of the radical, representation theory of groups and algebras, prime and semiprime rings, primitive and semiprimitive rings, division rings, ordered rings, local and semilocal rings, perfect and semiperfect rings, and so forth. By aiming the level of writing at the novice rather than the connoisseur and by stressing the role of examples and motivation, the author has produced a text that is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.
目录
Preface to the Second Edition
Preface to the First Edition
Notes to the Reader
CHAPTER 1 Wedderburn-Artin Theory
1.Basic Terminology and Examples
Exercises for 1
2.Semisimplicity
Exercises for 2
3.Structure of Semisimple Rings
Exercises for 3
CHAPTER 2 Jacobson Radical Theory
4.The Jacobson Radical
Exercises for 4
5.Jacobson Radical Under Change of Rings.
Exercises for 5
6.Group Rings and the J-SemisimplicJty Problem
Exercises for 6
CHAPTER 3 Introduction to Representation Theory
7.Modules over Finite-Dimensional Algebras
Exercises for 7
Preface to the First Edition
Notes to the Reader
CHAPTER 1 Wedderburn-Artin Theory
1.Basic Terminology and Examples
Exercises for 1
2.Semisimplicity
Exercises for 2
3.Structure of Semisimple Rings
Exercises for 3
CHAPTER 2 Jacobson Radical Theory
4.The Jacobson Radical
Exercises for 4
5.Jacobson Radical Under Change of Rings.
Exercises for 5
6.Group Rings and the J-SemisimplicJty Problem
Exercises for 6
CHAPTER 3 Introduction to Representation Theory
7.Modules over Finite-Dimensional Algebras
Exercises for 7
