Noncommutative Algebra: 144 - Rilegato

Farb, Benson; Dennis, R. Keith

Rilegato

ISBN 10: 038794057X ISBN 13: 9780387940571

Casa editrice: Springer Nature, 1993

Riassunto

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.

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Contenuti

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.

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 038794057X
• ISBN 13: 9780387940571
• Rilegatura: Copertina rigida
• Numero di pagine: 244
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania