
Noncommutative Algebra
Springer (Publisher)
Published on 30. September 2012
Book
Paperback/Softback
XIV, 226 pages
978-1-4612-6936-6 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1993
Language
English
Place of publication
New York
United States
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
XIV, 226 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 14 mm
Weight
376 gr
ISBN-13
978-1-4612-6936-6 (9781461269366)
DOI
10.1007/978-1-4612-0889-1
Schweitzer Classification
Other editions
Additional editions

Benson Farb | R. Keith Dennis
Noncommutative Algebra
E-Book
12/2012
Springer
€69.54
Available for download

Benson Farb | R. Keith Dennis
Noncommutative Algebra
Book
08/1993
Springer
€85.59
Shipment within 5-7 days
Content
I The Core Course.- 0 Background Material.- 1 Semisimple Modules & Rings and the Wedderburn Structure Theorem.- 2 The Jacobson Radical.- 3 Central Simple Algebras.- 4 The Brauer Group.- II Selected Topics.- 5 Primitive Rings and the Density Theorem.- 6 Burnside's Theorem and Representations of Finite Groups.- 7 The Global Dimension of a Ring.- 8 The Brauer Group of a Commutative Ring.- III Supplementary Exercises.- References.