Noncommutative Algebra

Author:   Benson Farb ,  R. Keith Dennis
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1993
Volume:   144
ISBN:  

9781461269366


Pages:   226
Publication Date:   30 September 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Noncommutative Algebra


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Overview

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.

Full Product Details

Author:   Benson Farb ,  R. Keith Dennis
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1993
Volume:   144
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.379kg
ISBN:  

9781461269366


ISBN 10:   1461269369
Pages:   226
Publication Date:   30 September 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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