Last edited by Vigar
Sunday, February 9, 2020 | History

4 edition of Brauer groups and the cohomology of graded rings found in the catalog.

Brauer groups and the cohomology of graded rings

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  • 24 Currently reading

Published by M. Dekker in New York .
Written in English

    Subjects:
  • Azumaya algebras.,
  • Brauer groups.,
  • Graded rings.,
  • Homology theory.

  • Edition Notes

    StatementStefaan Caenepeel, Freddy van Oystaeyen.
    SeriesMonographs and textbooks in pure and applied mathematics ;, 121
    ContributionsOystaeyen, F. van, 1947-
    Classifications
    LC ClassificationsQA251.5 .C34 1988
    The Physical Object
    Paginationx, 261 p. ;
    Number of Pages261
    ID Numbers
    Open LibraryOL2036885M
    ISBN 100824779789
    LC Control Number88013112

    Tignol Witt rings and Brauer groups under multiquadratic extensions. Tignol Galois cohomology of special orthogonal groups, Manuscripta Math. Small Integrality of subrings of matrix rings, Pacific J. B, 42-

    Neftin Galois subfields of tame division algebras, Israel J. MR 85i with L. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. LeBruyn eds. Tignol Totally ramified valuations on finite-dimensional division algebras, Trans.

    Haile and P. This functor is left exactbut not necessarily right exact. Hwang Algebraic extensions of graded and valued fields, Comm. In a broad sense of the word, "cohomology" is often used for the right derived functors of a left exact functor on an abelian category, while "homology" is used for the left derived functors of a right exact functor. As an added bonus, the book comes with a rich, item, bibliography, well-chosen examples, calculations, and sets of exercises in each chapter, which makes this book an excellent textbook for self-study or for a topics course on separable algebras. MR 81g with R.


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Brauer groups and the cohomology of graded rings by Stefaan Caenepeel Download PDF Ebook

Cohomology of varieties[ edit ] There are numerous machines built for computing the cohomology of algebraic varieties. As in algebraic topology, there is a dual theory called group homology. Shapiro and J. MR with R. MR 91h The algebra generated by two commuting matrices, Linear and Multilinear Algebra, 27- MR with V.

Hazrat On maximal subgroups of the multiplicative group of a division algebra, J. Marcel Dekker, Childs, J. In the simplest case the cohomology of a smooth hypersurface in. Morandi Baer orderings with noninvariant valuation ring, Israel J.

MR 91j with P. II, K-Theory, 14- Schacher Division rings and the square root of -1, J. MR 99k: with Y. Childs, Abelian Galois extensions of rings containing roots of unity, Illinois J. MR 50 Similarity of quadratic forms and isomorphism of their function fields, Trans.

For every sheaf of abelian groups E on a topological space X, one has cohomology groups Hi X,E for integers i. Childs, M.

Hopf Algebras and Quantum Groups

Childs, Left skew braces and the Galois correspondence for Hopf Galois extensions, arxivl, J. Since its subject is important in many research areas, this book will be valuable reading for all researchers and graduate students with an interest in non-commutative algebra. Somewhat astoundingly, the Tate conjecture, and its various related conjectures, have various surprising reinterpretations in terms of number theoretic concepts.

Hwang and D.This chapter focuses on the aspects of the Brauer group Brauer groups and the cohomology of graded rings book are close to the algebraic theory concerning the separable algebras representing the elements. Azumaya algebras are in many ways near to commutative rings; their explicit structure is on most occasions still mysterious.

Discover Book Depository's huge selection of Stefaan Caenepeel books online. Free delivery worldwide on over 20 million titles. 16E Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. 16E Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) 16E None of the above, but in this section.The Brauer Group of a Hopf Algebra FREDDY VAN Pdf AND YINHUO ZHANG Abstract.

Pdf H be a Hopf algebra with a bijective antipode over a commutative ring k with unit. The Brauer group of H is defined as the Brauer group of Yetter–Drinfel’d H-module algebras, which generalizes the Brauer–Long group of a commutative and cocommutative Cited by: 5.We also develop somewhat more sophisticated versions of the ordinary, equivariant and crossed relative Brauer groups and show that the resulting exact sequences behave better with regard to.an open source textbook and reference work on algebraic geometry.