Noncommutative Algebra: 144 (Graduate Texts in Mathematics, 144) - Hardcover

Farb, Benson; Dennis, R. Keith

Hardcover

ISBN 10: 038794057X ISBN 13: 9780387940571

Publisher: Springer, 1993

Synopsis

About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap­ student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.

About this title

Synopsis

An introduction to the field, suitable for a one semester course or self-study. The approach is more homological than ring-theoretic and begins with the basics of semisimple modules and rings. The Jacobson radical is discussed from several different points of view, followed by a development of the theory of central simple algebras. Other topics inc

Edition details

• Publisher: Springer
• Publication date: 1993
• Language: English
• ISBN 10: 038794057X
• ISBN 13: 9780387940571
• Binding: Hardcover
• Number of pages: 240