Exercises in Classical Ring Theory / Edition 2

Exercises in Classical Ring Theory / Edition 2

by T.Y. Lam
     
 

ISBN-10: 1441918299

ISBN-13: 9781441918291

Pub. Date: 11/29/2010

Publisher: Springer New York

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…  See more details below

Overview

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 problem-solving 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 Wedderburn-Artin 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

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Product Details

ISBN-13:
9781441918291
Publisher:
Springer New York
Publication date:
11/29/2010
Series:
Problem Books in Mathematics Series
Edition description:
Softcover reprint of hardcover 2nd ed. 2003
Pages:
364
Product dimensions:
0.79(w) x 9.21(h) x 6.14(d)

Related Subjects

Table of Contents

* 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

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