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Exercises in Classical Ring Theory

T. Y. Lam
Publisher: 
Springer
Publication Date: 
2003
Number of Pages: 
359
Format: 
Hardcover
Edition: 
2
Series: 
Problem Books in Mathematics
Price: 
84.95
ISBN: 
9780387005003
Category: 
Problem Book
[Reviewed by
Fernando Q. Gouvêa
, on
10/18/2012
]

This can be used as either a standalone problem book or as a kind of solution manual for Lam's brilliant A First Course in Noncommutative Rings. It includes all of the problems from the First Course, with full solutions. The problems tend to be difficult and sometimes tricky, so having solutions is a very good thing.

* Preface * Notes to the Reader * Wedderburn-Artin Theory * Jacobson Radical Theory * Introduction to Representation Theory * Prime and Primitive Rings * Introduction to Division Rings * Ordered Structures in Rings * Local Rings, Semilocal Rings, and Idempotents, Perfect and Semiperfect Rings * Name Index * Subject Index