Lectures on Modules and Rings
(Sprache: Englisch)
Lance Small This new book can be read independently from the first volume and is intended to be used for lecturing, seminar- and self-study, and for general reference. It is focused more on specific topics in order to introduce the reader to a wealth of...
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Klappentext zu „Lectures on Modules and Rings “
Lance Small This new book can be read independently from the first volume and is intended to be used for lecturing, seminar- and self-study, and for general reference. It is focused more on specific topics in order to introduce the reader to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. This volume is particularly user-friendly with its abundance of examples illustrating the theory virtually at every step. A large number of carefully chosen exercises serves the dual purpose of providing practice to newcomers to the field, and offering a rich additional source of information to experts. A direct approach is used in order to present the material in an efficient and economic way thereby introducing the reader to a considerable amount of interesting ring theory without being dragged through endless preparatory material.
Inhaltsverzeichnis zu „Lectures on Modules and Rings “
- Free Modules, Projective and Injective Modules- Flat Modules and Homological Dimensions
- More Module Theory
- Rings of Quotients
- More Rings of Quotients
- Frobenius and Quasi-Frobenius Rings
- Matrix Rings, Categories of Modules, and Morita Theory.
Bibliographische Angaben
- Autor: Tsit Yuen Lam
- 1999, Repr. d. Ausg. v. 1998., 557 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387984283
- ISBN-13: 9780387984285
- Erscheinungsdatum: 23.10.1998
Sprache:
Englisch
Rezension zu „Lectures on Modules and Rings “
"As in the previous book, the presentation is extremely clear and incisive and the exercises are both interesting and challenging. Without a doubt, the book could indeed serve as a textbook for a very good---though definitely formidable---graduate course in ring theory. The author is the first to admit, in his introduction, that he is far from having covered all of the interesting topics in noncommutative ring theory. Therefore, given the high level of presentation of the two books he has already published, one can only hope that a third volume will be in the offing, despite his "solemn pledge" to the contrary."--MATHEMATICAL REVIEWS
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