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＜電子ブック＞
Exercises in Classical Ring Theory / by T.Y. Lam
(Problem Books in Mathematics. ISSN:21978506)

版	2nd ed. 2003.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2003
本文言語	英語
大きさ	XX, 364 p : online resource
著者標目	*Lam, T.Y author SpringerLink (Online service)
件　名	LCSH:Commutative algebra LCSH:Commutative rings LCSH:Associative rings LCSH:Associative algebras FREE:Commutative Rings and Algebras FREE:Associative Rings and Algebras
一般注記	Wedderburn-Artin Theory -- Jacobson Radical Theory -- to Representation Theory -- Prime and Primitive Rings -- to Division Rings -- Ordered Structures in Rings -- Local Rings, Semilocal Rings, and Idempotents -- Perfect and Semiperfect Rings " 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) HTTP:URL=https://doi.org/10.1007/b97448

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