Exercises in Classical Ring Theory (eBook, 1995) [WorldCat.org]
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Exercises in Classical Ring Theory

Author: T Y Lam
Publisher: New York, NY : Springer New York : Imprint : Springer, 1995.
Series: Problem books in mathematics
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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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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