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Other titles in the Problem Books in Mathematics series:
Exercises in Classical Ring Theory (Problem Books in Mathematics)by T. Y. Lam
Synopses & ReviewsPublisher Comments:This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problemsolving process and an illustration of the applications of different theorems in ring theory. The author also discusses "the folklore of the subject: the `tricks of the trade' in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference". The problems are from the following areas: the WedderburnArtin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. T. W. Hungerford, Mathematical Reviews
Synopsis:This useful book, based on the author's Berkeley lectures, offers some 400 exercises in classical ring theory, with complete solutions, background information, historical commentary, bibliographic details and notes on possible improvements or generalizations.
Table of Contents* Preface * Notes to the Reader * WedderburnArtin 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
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Science and Mathematics » Mathematics » Algebra » Abstract Algebra


