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Brauer Groups, Hopf Algebras and Galois Theory (Paperback, 1998 ed.) Loot Price: R1,584
Discovery Miles 15 840
Brauer Groups, Hopf Algebras and Galois Theory (Paperback, 1998 ed.): Stefaan Caenepeel

Brauer Groups, Hopf Algebras and Galois Theory (Paperback, 1998 ed.)

Stefaan Caenepeel

Series: K-Monographs in Mathematics, 4

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Loot Price R1,584 Discovery Miles 15 840 | Repayment Terms: R148 pm x 12*

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This volume is devoted to the Brauer group of a commutative ring and related invariants. Part I presents a new self-contained exposition of the Brauer group of a commutative ring. Included is a systematic development of the theory of Grothendieck topologies and etale cohomology, and discussion of topics such as Gabber's theorem and the theory of Taylor's big Brauer group of algebras without a unit. Part II presents a systematic development of the Galois theory of Hopf algebras with special emphasis on the group of Galois objects of a cocommutative Hopf algebra. The development of the theory is carried out in such a way that the connection to the theory of the Brauer group in Part I is made clear. Recent developments are considered and examples are included.

The Brauer-Long group of a Hopf algebra over a commutative ring is discussed in Part III. This provides a link between the first two parts of the volume and is the first time this topic has been discussed in a monograph.

Audience: Researchers whose work involves group theory. The first two parts, in particular, can be recommended for supplementary, graduate course use. "

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: K-Monographs in Mathematics, 4
Release date: 2002
First published: 1998
Authors: Stefaan Caenepeel
Dimensions: 234 x 156 x 25mm (L x W x T)
Format: Paperback
Pages: 488
Edition: 1998 ed.
ISBN-13: 978-1-4020-0346-2
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Number theory > General
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LSN: 1-4020-0346-3
Barcode: 9781402003462

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