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Brauer groups of graded algebras

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

Keywords

  • Hopf Algebra
  • Direct Summand
  • Galois Extension
  • Module Algebra
  • Smash Product

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References

  1. H. Bass, Lectures on Topics in Algebraic K-Theory, Tata Institute for Fundamental Research, Bombay, 1967.

    MATH  Google Scholar 

  2. M. Beattie, A direct sum decomposition for the Brauer group of H-module algebras, J. Algebra, to appear.

    Google Scholar 

  3. S.U. Chase, and M.E. Sweedler, Hopf algebras and Galois Theory, Lecture Notes in Mathematics 97, Springer-Verlag, Berlin, 1969.

    MATH  Google Scholar 

  4. L.N. Childs, The Brauer group of graded algebras II: graded Galois extensions, Trans. Amer. Math. Soc. 204 (1975), 137–160.

    MathSciNet  MATH  Google Scholar 

  5. -, G. Garfinkel and M. Orzech, The Brauer group of graded Azumaya algebras, Trans. Amer. Math. Soc. 175 (1973), 299–326

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M.-A. Knus, Algebras graded by a group, Category Theory, Homology Theory and their Applications II, Lecture Notes in Mathematics 92, Springer-Verlag, Berlin, 1969.

    Google Scholar 

  7. F.W. Long, A generalization of the Brauer group of graded algebras, Proc. London Math. Soc. (3) 29 (1974), 237–256.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. -, The Brauer group of dimodule algebras, J. Algebra 30 (1974), 559–601.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. M. Orzech, On the Brauer group of modules having a grading and an action, Canad. J. Math., to appear.

    Google Scholar 

  10. D.J. Picco and M.I. Platzeck, Graded algebras and Galois extensions, Rev. Un. Mat. Argentina 25 (1971), 401–415.

    MathSciNet  MATH  Google Scholar 

  11. C. Small, The Brauer-Wall group of a commutative ring, Trans. Amer. Math. Soc. 156 (1971), 455–491.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. -, The group of quadratic extensions, J. Pure Applied Alg. 2 (1972), 83–105.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. C.T.C. Wall, Graded Brauer groups, J. Reine Angew. Math. 213 (1964), 187–199.

    MathSciNet  MATH  Google Scholar 

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© 1976 Springer-Verlag

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Orzech, M. (1976). Brauer groups of graded algebras. In: Zelinsky, D. (eds) Brauer Groups. Lecture Notes in Mathematics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077340

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  • DOI: https://doi.org/10.1007/BFb0077340

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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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