Exercises in Classical Ring Theory - Rilegato

Lam, T. Y.

Rilegato

ISBN 10: 0387005005 ISBN 13: 9780387005003

Casa editrice: Springer-Verlag GmbH, 2003

Riassunto

" 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)

Su questo libro

Contenuti

* 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

Product Description

Book by Lam TY

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0387005005
• ISBN 13: 9780387005003
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 384
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania