The first work of its kind, this volume offers a compendium of some 480 exercises of varying degrees of difficulty in classical 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
Exercises in Classical Ring Theory
β Scribed by T. Y. Lam (auth.)
- Publisher
- Springer New York
- Year
- 1995
- Tongue
- English
- Leaves
- 299
- Series
- Problem Books in Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xvi
Wedderburn-Artin Theory....Pages 1-34
Jacobson Radical Theory....Pages 35-68
Introduction to Representation Theory....Pages 69-101
Prime and Primitive Rings....Pages 103-150
Introduction to Division Rings....Pages 151-190
Ordered Structures in Rings....Pages 191-209
Local Rings, Semilocal Rings, and Idempotents....Pages 211-256
Perfect and Semiperfect Rings....Pages 257-275
Back Matter....Pages 277-288
β¦ Subjects
Algebra
π SIMILAR VOLUMES
The first work of its kind, this volume offers a compendium of some 480 exercises of varying degrees of difficulty in classical 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,
<p>Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we