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Long exact sequences and the Brauer group

Part of the Lecture Notes in Mathematics book series (LNM,volume 549)

Keywords

  • Exact Sequence
  • Isomorphism Class
  • Direct Limit
  • Splitting Ring
  • Ring Extension

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References

  1. M. Artin, Grothendieck Topologies, Harvard U. Notes, 1962.

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  2. M. Artin, On the joins of Hensel rings, Advances in Math. 7(1971) 282–296.

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  3. S. U. Chase and A. Rosenberg, Amitsur cohomology and the Brauer group, Mem. Amer. Math. Soc. 52(1965) 34–68.

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  4. L. N. Childs, On normal Azumaya algebras and the Teichmüller cocycle map, J. Alg. 23(1972) 1–17.

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  5. A. Hattori, Certain cohomology associated with Galois extensions of commutative rings, Sci. Papers Coll. Gen. Educ., U. Tokyo 24(1974) 79–91.

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  6. M.-A. Knus, On the Teichmüller cocycle, unpublished.

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  7. O. E. Villamayor and D. Zelinsky, Brauer groups and Amitsur cohomology for general commutative ring extensions, to appear in J. Pure and Applied Algebra.

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© 1976 Springer-Verlag

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Zelinsky, D. (1976). Long exact sequences and the Brauer group. In: Zelinsky, D. (eds) Brauer Groups. Lecture Notes in Mathematics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077333

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  • DOI: https://doi.org/10.1007/BFb0077333

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07989-7

  • Online ISBN: 978-3-540-37978-2

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