# epub Brauer Groups, Hopf Algebras and Galois Theory (K-Monographs in Mathematics) download

# by Stefaan Caenepeel

K-Monographs in Mathematics. Brauer Groups, Hopf Algebras and Galois Theory. Authors: Caenepeel, Stefaan.

K-Monographs in Mathematics. 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 étale cohomology, and discussion of topics such as Gabber's theorem and the theory of Taylor's big Brauer group of algebras without a unit.

This volume is devoted to the Brauer group of a commutative ring and related invariants. Part I presents a self-contained exposition of the Brauer group of a commutative ring. By (author) Stefaan Caenepeel. I: The Brauer Group of a Commutative Ring. 1. Morita Theory for Algebras without a Unit. 2. Azumaya Algebras and Taylor-Azumaya Algebras. Free delivery worldwide. 4. Central Separable Algebras. 5. Amitsur Cohomology and etale Cohomology. 6. Cohomological Interpretation of the Brauer Group. II: Hopf Algebras and Galois Theory.

Volume 31 Issue 4. Brauer groups, hopf algebras a. .Bulletin of the London Mathematical Society. BRAUER GROUPS, HOPF ALGEBRAS AND GALOIS THEORY (K-Monographs in Mathematics 4) By STEFAAN CAENEPEEL: 504 p. £118. 00, ISBN 0 X (Kluwer Academic Publishers, 1998).

Автор: Stefaan Caenepeel Название: Brauer Groups, Hopf Algebras and Galois Theory Издательство .

Introduction to the Theory of Abstract Algebras (Athena). Alibris has A First Course in Abstract Algebra and other books by John B. I am a mathematics professor at a small liberal arts university in Canada, and I use. Symmetric Functions and Hall Polynomials (Oxford Mathematical Monographs). Convexity (Cambridge Tracts in Mathematics, 187).

Rings, Hopf Algebras, and Brauer Groups: Lecture Notes in Pure and Applied Mathematics. Stefaan Caenepeel, A Verschoren. Download (pdf, . 8 Mb) Donate Read. Epub FB2 mobi txt RTF. Converted file can differ from the original. If possible, download the file in its original format.

Are you sure you want to remove Brauer groups, Hopf algebras, and Galois theory from your list? . by Stefaan Caenepeel. K-monographs in mathematics ;, v.

Are you sure you want to remove Brauer groups, Hopf algebras, and Galois theory from your list? Brauer groups, Hopf algebras, and Galois theory. Published 1998 by Kluwer Academic Publishers in Dordrecht, Boston. Brauer group, Galois theory, Hopf algebras.

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The Hopf-Galois theory for separable extensions was determined by Greither and Pareigis, and the . Springer Monographs in Mathematics.

The Hopf-Galois theory for separable extensions was determined by Greither and Pareigis, and the specific classification for radical extensions such as these by the author. In this work we extend this theory to a certain class of profinite extensions, namely those formed from the union of these $mathbb{Q}(w n)$. We construct a 'profinite' Hopf algebra which acts, and show that it satisfies a generalization of a result due to Haggenmuller and Pareigis on the structure of Hopf algebra forms of group algebras.

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 étale 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.