R. Keith Dennis: Noncommutative Algebra

Cover: 9780387940571 | Noncommutative Algebra | R. Keith Dennis (u. a.) | Buch | xiv | 1993

Rückseite: 9780387940571 | Noncommutative Algebra | R. Keith Dennis (u. a.) | Buch | xiv | 1993

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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.

Erscheinungsjahr:	1993
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiv 226 S.
ISBN-13:	9780387940571
ISBN-10:	038794057X
Sprache:	Englisch
Einband:	Gebunden
Autor:	Dennis, R. Keith Farb, Benson
Hersteller:	Springer US Springer New York
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 18 mm
Von/Mit:	R. Keith Dennis (u. a.)
Erscheinungsdatum:	20.08.1993
Gewicht:	0,535 kg

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