Exercices in Classical Ring Theory

Problem books in mathematics

T.Y. Lam

360 pages, parution le 21/10/2003

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Résumé

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

Written for:
Graduate mathematics students, algebraists

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

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	T.Y. Lam
Parution	21/10/2003
Nb. de pages	360
Format	16 x 24
Couverture	Relié
Poids	670g
Intérieur	Noir et Blanc
EAN13	9780387005003
ISBN13	978-0-387-00500-3