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Exercises in Classical Ring Theory 2ND Edition

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Exercises in Classical Ring Theory 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

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

Synopsis:

This useful book, based on the author's Berkeley lectures, offers some 400 exercises in classical ring theory, with complete solutions, background information, historical commentary, bibliographic details and notes on possible improvements or generalizations.

Synopsis:

This useful book 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. The new edition contains 40 new exercises with their solutions.

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

Product Details

ISBN:
9780387005003
Author:
Lam, Tsit Yuen
Publisher:
Springer
Author:
Lam, T. Y.
Author:
Lam, Tsit-Yuen
Location:
New York, NY
Subject:
Algebra - General
Subject:
Advanced
Subject:
Rings (algebra)
Subject:
Rings
Subject:
Commutative Rings and Algebras
Subject:
Associative Rings and Algebras
Subject:
Mathematics - Algebra
Subject:
Algebra - Abstract
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Algebra
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 2003
Series:
Problem books in mathematics
Series Volume:
20
Publication Date:
20030912
Binding:
HARDCOVER
Language:
English
Pages:
380
Dimensions:
235 x 155 mm 1570 gr

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Exercises in Classical Ring Theory 2ND Edition New Hardcover
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Product details 380 pages Springer-Verlag - English 9780387005003 Reviews:
"Synopsis" by , This useful book, based on the author's Berkeley lectures, offers some 400 exercises in classical ring theory, with complete solutions, background information, historical commentary, bibliographic details and notes on possible improvements or generalizations.
"Synopsis" by , This useful book 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. The new edition contains 40 new exercises with their solutions.
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