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Additional Physical Format: | Printed edition: Printed edition: Printed edition: |
---|---|
Material Type: | Document, Internet resource |
Document Type: | Internet Resource, Computer File |
All Authors / Contributors: |
T Y Lam |
ISBN: | 9781475739879 1475739877 |
OCLC Number: | 1086558257 |
Description: | 1 online resource (XVI, 288 pages 1 illustration) : online resource |
Contents: | 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. |
Series Title: | Problem books in mathematics |
Responsibility: | by T.Y. Lam. |
Abstract:
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.
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