Exercises in classical ring theory
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
xvi, 287 pages : illustrations ; 25 cm
9780387943176, 9783540943174, 038794317X, 354094317X
30437890
Ch. 1. Wedderburn-Artin Theory
Ch. 2. Jacobson Radical Theory
Ch. 3. Introduction to Representation Theory
Ch. 4. Prime and Primitive Rings
Ch. 5. Introduction to Division Rings
Ch. 6. Ordered Structures in Rings
Ch. 7. Local Rings, Semilocal Rings, and Idempotents
Ch. 8. Perfect and Semiperfect Rings
Includes indexes
Table of contents Kostenfrei