
Introduction  Table of Contents  Supplementary Material 
Graduate Studies in Mathematics 2008; 648 pp; hardcover Volume: 91 ISBN10: 082184153X ISBN13: 9780821841532 List Price: US$88 Member Price: US$70.40 Order Code: GSM/91 See also: Graduate Algebra: Commutative View  Louis Halle Rowen Hereditary Noetherian Prime Rings and Idealizers  Lawrence S Levy and J Chris Robson  This book is a companion volume to Graduate Algebra: Commutative View (published as volume 73 in this series). The main and most important feature of the book is that it presents a unified approach to many important topics, such as group theory, ring theory, Lie algebras, and gives conceptual proofs of many basic results of noncommutative algebra. There are also a number of major results in noncommutative algebra that are usually found only in technical works, such as Zelmanov's proof of the restricted Burnside problem in group theory, word problems in groups, Tits's alternative in algebraic groups, PI algebras, and many of the roles that Coxeter diagrams play in algebra. The first half of the book can serve as a onesemester course on noncommutative algebra, whereas the remaining part of the book describes some of the major directions of research in the past 100 years. The main text is extended through several appendices, which permits the inclusion of more advanced material, and numerous exercises. The only prerequisite for using the book is an undergraduate course in algebra; whenever necessary, results are quoted from Graduate Algebra: Commutative View. Readership Graduate students and research mathematicians interested in various topics of noncommutative algebra. Reviews "Each part ends with more than 30 pages of exercises, from the basic to the challenging, carefully arranged and labeled according to the chapter (or appendix) to which they related ... a striking and very enjoyable feature of the book is the huge number of digressions: there are frequent pauses to point out noteworthy aspects of the terrain which lies ahead, beyond what can be covered in detail in a book of this sort. The style, layout and precision of the book make it a pleasure to read..."  Mathematical Reviews "The book is largely selfcontained. ...a valuable textbook and a reliable reference for graduate students."  MAA Reviews 


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