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AuthorLam, T. Y. author
TitleA First Course in Noncommutative Rings [electronic resource] / by T. Y. Lam
ImprintNew York, NY : Springer New York : Imprint: Springer, 2001
Edition Second Edition
Connect tohttp://dx.doi.org/10.1007/978-1-4419-8616-0
Descript XIX, 388 p. online resource

SUMMARY

A First Course in Noncommutative Rings, an outgrowth of the author's 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, Jacobson's 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 th 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


CONTENT

1 Wedderburnโ{128}{148}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 -- References -- Name Index


Mathematics Algebra Mathematics Algebra



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