Exercises in Classical Ring Theory (eBook, 2003) [WorldCat.org]
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Exercises in Classical Ring Theory

Author: T Y Lam
Publisher: [s.l.] : Springer New York, 2003.
Series: Online access with purchase: Springer (1997-2004 collection)
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: T Y Lam
ISBN: 9780387005003 0387005005 9780387217710 0387217711 1280188308 9781280188305
OCLC Number: 1229642837
Description: 1 online resource
Series Title: Online access with purchase: Springer (1997-2004 collection)
Responsibility: by T. Lam.
More information:

Abstract:

"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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