Download PDF

Arabian Journal of Mathematics

, Volume 1, Issue 3, pp 305–308 | Cite as

Separability of CP-graded ring extensions

Open Access
Research Article
First Online:
Received:
Accepted:
  • 429 Downloads

Abstract

In this paper, we investigate separability of CP-graded ring extensions. With restrictions neither to graded fields nor to grading by torsion–free groups, we show that some results on graded field extensions given in Hwang and Wadsworth [Commun Algebra 27(2):821–840, 1999] hold.

Open image in new window

Mathematics Subject Classification

12Kxx 15A63 
Download to read the full article text

Notes

Acknowledgments

I would like to thank Professor J. P. Tignol for his valuable comments and suggestions.

References

  1. 1.
    Boulagouaz, M.: The graded and tame extensions. In: Lecture Notes in Pure and Applied Mathematics, vol. 153, pp. 27–40. Marcel Dekker, New York (1994)Google Scholar
  2. 2.
    El Fadil L.: Separability of graded fields. Int. Math. Forum 1(4), 191–197 (2006)MATHMathSciNetGoogle Scholar
  3. 3.
    El Fadil L., Charkani M.: Generalization of the discriminant and applications. Arab. J. Sci. Eng. 29(1A), 93–98 (2004)MathSciNetGoogle Scholar
  4. 4.
    Hwang Y.S., Wadsworth A.R.: Algebraic extensions of graded and valued fields. Commun. Algebra 27(2), 821–840 (1999)MATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    Knus, M.A.; Ojanguren, M.: Théorie de la descente et algèbres d’Azumaya. In: Lecture Notes in Mathematics, vol. 389. Springer, Berlin (1974)Google Scholar

Copyright information

© The Author(s) 2012

This article is published under license to BioMed Central Ltd. Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  1. 1.Department of MathematicsCollege of Sciences, King Khalid UniversityAbhaSaudi Arabia

Personalised recommendations