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Noncommutative Algebra
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Catalogue Information
Field name
Details
Dewey Class
512
Title
Noncommutative Algebra ([EBook] /) / by Benson Farb, R. Keith Dennis.
Author
Farb, Benson
Added Personal Name
Dennis, R. Keith
author.
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 1993.
Physical Details
XIV, 226 p. : online resource.
Series
Graduate texts in mathematics
0072-5285 ; ; 144
ISBN
9781461208891
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-0889-1
Links to Related Works
Subject References:
Algebra
.
Mathematics
.
Authors:
Dennis, R. Keith
.
Farb, Benson
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Corporate Authors:
SpringerLink (Online service)
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Series:
Graduate texts in mathematics
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GTM
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Classification:
512
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