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OverviewAbout 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 DetailsAuthor: Benson Farb , R. Keith DennisPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 1993 ed. Volume: 144 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 1.150kg ISBN: 9780387940571ISBN 10: 038794057 Pages: 226 Publication Date: 20 August 1993 Audience: General/trade , General Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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