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First Course in Noncommutative Rings

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ISBN-10: 0387953256

ISBN-13: 9780387953250

Edition: 2nd 2001 (Revised)

Authors: Tsit-Yuen Lam

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Description:

This book, an outgrowth of the authors lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings, Jacobsons theory of the radical, representation theory of groups and algebras, prime and semiprime rings, local and semilocal rings, perfect and semiperfect rings, etc. By aiming the level of writing at the novice rather than the connoisseur and by stressing the role of examples and motivation, the author has produced a text that is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.
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Book details

Edition: 2nd
Copyright year: 2001
Publisher: Springer
Publication date: 6/21/2001
Binding: Paperback
Pages: 388
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 1.232
Language: English

Preface to the Second Edition
Preface to the First Edition
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
References
Name Index
Subject Index