T. Y. Lam: Exercises in Classical Ring Theory

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Cover: 9781441918291 | Exercises in Classical Ring Theory | T. Y. Lam | Taschenbuch | XX

Bild: 9781441918291 | Exercises in Classical Ring Theory | T. Y. Lam | Taschenbuch | XX

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Sprache: Englisch

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Beschreibung

" 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)

Zusammenfassung

The first work of its kind, this volume offers a compendium of 400
exercises of varying degrees of difficulty in classical ring theory.
All exercises are solved in full detail; many are accompanied by
historical or bibliographical information, or a commentary on possible
improvements and generalizations. The second edition contains 40 new
exercises with their solutions.

Inhaltsverzeichnis

* 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

Erscheinungsjahr:	2010
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	384
Reihe:	Problem Books in Mathematics
Inhalt:	xx 364 S.
ISBN-13:	9781441918291
ISBN-10:	1441918299
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Lam, T. Y.
Auflage:	Softcover reprint of hardcover 2nd ed. 2003
Hersteller:	Springer US Springer New York Problem Books in Mathematics
Maße:	235 x 155 x 21 mm
Von/Mit:	T. Y. Lam
Erscheinungsdatum:	29.11.2010
Gewicht:	0,581 kg

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