Exercises in Classical Ring Theory
T. Y. Lam (Author)
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
eBook, English, 1995
Springer New York : Imprint : Springer, New York, NY, 1995
1 online resource (XVI, 288 pages 1 illustration) : online resource
9781475739879, 1475739877
1086558257
Printed edition:
1 Wedderburn-Artin Theory
2 Jacobson Radical Theory
3 Introduction to Representation Theory
4 Prime and Primitive Rings
5 Introduction to Division Rings
6 Ordered Structures in Rings
7 Local Rings, Semilocal Rings, and Idempotents
8 Perfect and Semiperfect Rings
Name Index