Lectures on Modules and Rings: 189 (Graduate Texts in Mathematics, 189) - Hardcover

Lam, Tsit-Yuen

Hardcover

ISBN 10: 0387984283 ISBN 13: 9780387984285

Publisher: Springer, 1998

Synopsis

This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. User-friendly with its abundance of examples illustrating the theory at virtually every step, the volume contains a large number of carefully chosen exercises to provide newcomers with practice, while 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 readers to a considerable amount of interesting ring theory without being dragged through endless preparatory material.

About this title

Review

"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

Synopsis

This is the long awaited sequel to Lam's earlier GTM 131 "A First Course in Noncommutative Ring Theory" which received the following praise in the Monthly: 'The book is beautifully written with many illuminating examples and exercises ...Reading Lam's book reminded me of my own delight in discovering the structure theory of rings and its applications ...I eagerly await Lam's second volume and confidently recommend his first' - 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.

Edition details

• Publisher: Springer
• Publication date: 1998
• ISBN 10: 0387984283
• ISBN 13: 9780387984285
• Binding: Hardcover
• Language: English
• Number of pages: 580