Hopf Algebras and Galois Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Algebras and Galois Theory write by Stephen U. Chase. This book was released on 2007-01-05. Hopf Algebras and Galois Theory available in PDF, EPUB and Kindle.
Hopf Algebras and Galois Module Theory
Hopf Algebras and Galois Module Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Algebras and Galois Module Theory write by Lindsay N. Childs. This book was released on 2021-11-10. Hopf Algebras and Galois Module Theory available in PDF, EPUB and Kindle. Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory and can be viewed as a sequel to the first author's book, Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory, which was published in 2000. The book is divided into two parts. Part I is more algebraic and focuses on Hopf-Galois structures on Galois field extensions, as well as the connection between this topic and the theory of skew braces. Part II is more number theoretical and studies the application of Hopf algebras to questions of integral module structure in extensions of local or global fields. Graduate students and researchers with a general background in graduate-level algebra, algebraic number theory, and some familiarity with Hopf algebras will appreciate the overview of the current state of this exciting area and the suggestions for numerous avenues for further research and investigation.
Brauer Groups, Hopf Algebras and Galois Theory
Brauer Groups, Hopf Algebras and Galois Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Brauer Groups, Hopf Algebras and Galois Theory write by Stefaan Caenepeel. This book was released on 2002-03-31. Brauer Groups, Hopf Algebras and Galois Theory available in PDF, EPUB and Kindle. 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.
Hopf Algebras and Galois Theory
Hopf Algebras and Galois Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Algebras and Galois Theory write by Stephen U. Chase. This book was released on 2014-01-15. Hopf Algebras and Galois Theory available in PDF, EPUB and Kindle.
Galois Theory, Hopf Algebras, and Semiabelian Categories
Galois Theory, Hopf Algebras, and Semiabelian Categories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Theory, Hopf Algebras, and Semiabelian Categories write by George Janelidze, Bodo Pareigis, and Walter Tholen. This book was released on . Galois Theory, Hopf Algebras, and Semiabelian Categories available in PDF, EPUB and Kindle.
