Exercises in Classical Ring Theory

1. Front Matter

   Pages i-xvi

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2. Wedderburn-Artin Theory

   • T. Y. Lam

   Pages 1-34

3. Jacobson Radical Theory

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   Pages 35-68

4. Introduction to Representation Theory

   • T. Y. Lam

   Pages 69-101

5. Prime and Primitive Rings

   • T. Y. Lam

   Pages 103-150

6. Introduction to Division Rings

   • T. Y. Lam

   Pages 151-190

7. Ordered Structures in Rings

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   Pages 191-209

8. Local Rings, Semilocal Rings, and Idempotents

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   Pages 211-256

9. Perfect and Semiperfect Rings

   • T. Y. Lam

   Pages 257-275

10. Back Matter

    Pages 277-288

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Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written.
The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual.

• Forth
• boundary element method
• proof
• representation theory
• ring
• ring theory
• set
• theorem

• Department of Mathematics MA-01, University of California, Berkeley, USA

  T. Y. Lam

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