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Author:   Stefaan Caenepeel
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1998 ed.
Volume:   4
Dimensions:   Width: 15.60cm , Height: 2.50cm , Length: 23.40cm
Weight:   0.771kg
ISBN:  

9781402003462

ISBN 10:   1402003463
Pages:   488
Publication Date:   31 March 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I The Brauer group of a commutative ring.- 1 Morita theory for algebras without a unit.- 2 Azumaya algebras and Taylor-Azumaya algebras.- 3 The Brauer group.- 4 Central separable algebras.- 5 Amitsur cohomology and étale cohomology.- 6 Cohomological interpretation of the Brauer group.- II Hopf algebras and Galois theory.- 7 Hopf algebras.- 8 Galois objects.- 9 Cohomology over Hopf algebras.- 10 The group of Galois (co)objects.- 11 Some examples.- III The Brauer-Long group of a commutative ring.- 12 H-Azumaya algebras.- 13 The Brauer-Long group of a commutative ring.- 14 The Brauer group of Yetter-Drinfel’d module algebras.- A Abelian categories and homological algebra.- A.1 Abelian categories.- A.2 Derived functors.- B Faithfully flat descent.- C Elementary algebraic K-theory.

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