Skip to main content

Azumaya rings and Maschke's Theorem

  • 584 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1448)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. F. Anderson and K.R. Fuller, Rings and Categories of Modules, Springer-Verlag, Berlin-Heidelberg-New York, 1974.

    CrossRef  MATH  Google Scholar 

  2. G. Azumaya, Separable rings, J. Algebra 63 (1980) 1–14.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. N. Bourbaki, Algebre Commutative, Chapitre I, Actualites Sci. Ind. No. 1290, Hermann, Paris, 1962.

    Google Scholar 

  4. W.D. Burgess, A characterization of biregular group rings, Canad. Math. Bull. 21 (1978) 119–120.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. D.G. Burkholder, Azumaya rings with locally perfect centers, J. Algebra 103 (1986) 606–618.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. D.G. Burkholder, Azumaya rings, Pierce stalks and central ideal algebras, Comm. Algebra 17 (1989) 103–113.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. D.G. Burkholder, Products of Azumaya rings and Kochen's map, Comm. Algebra 17 (1989) 115–134.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. F.R. Demeyer and E.C. Ingraham, Separable Algebras over Commutative Rings, Lecture Notes in Mathematics #181, Springer-Verlag, Berlin-Heidelberg-New York, 1970.

    MATH  Google Scholar 

  9. F.R. Demeyer and G.J. Janusz, Group rings which are Azumaya algebras, Trans. Amer. Math. Soc. 279 (1983) 389–395.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. S.V. Mihovski, Biregular crossed products, J. Algebra 114 (1988) 58–67.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. S.V. Mihovski, Errata: Biregular crossed products, J. Algebra 117 (1988) 525.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J.C. McConnell and J.C. Robson, Noncommutative Noetherian Rings, Wiley, London, 1988.

    MATH  Google Scholar 

  13. D.S. Passman, The Algebraic Structure of Group Rings, Wiley, New York, 1977.

    MATH  Google Scholar 

  14. M.L. Ranga Rao, Azumaya, semisimple and ideal algebras, Bull. Amer. Math. Soc. 78 (1972) 588–592.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. O.E. Villamayor, On weak dimension of algebras, Pacific J. Math 9 (1959) 941–951.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Wehlen, J.A. (1990). Azumaya rings and Maschke's Theorem. In: Jain, S.K., López-Permouth, S.R. (eds) Non-Commutative Ring Theory. Lecture Notes in Mathematics, vol 1448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091247

Download citation

  • DOI: https://doi.org/10.1007/BFb0091247

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53164-7

  • Online ISBN: 978-3-540-46745-8

  • eBook Packages: Springer Book Archive