Lam Exercises in Classical Ring Theory

1995
ISBN: 978-1-4757-3987-9
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 288 Seiten, eBook

Reihe: Problem Books in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Lam, T.Y.

Inhaltsverzeichnis

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.