Prime Ideals in Crossed Products

  • D. S. Passman
Conference paper
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 24)

Abstract

This talk is concerned with crossed products and, to a lesser extent, with more general group-graded rings. Specifically, we consider when such rings are prime or semiprime and we study the nature of their prime ideals under certain finiteness assumptions. We also include some applications to the Galois theory of noncommutative rings.

Keywords

Nio2 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Selected References

  1. 1.
    R. B. Howlett and I. M. Isaacs, On groups of central type, Math. Z. 179 (1982), 555–569.CrossRefMATHMathSciNetGoogle Scholar
  2. 2.
    J. C. Monnell and J. C. Robson, “Noncommutative Noetherian Rings,” Wiley-Interscience, New York, 1987.Google Scholar
  3. 3.
    S. Montgomery, “Fixed Rings of Finite Automorphism Groups of Associative Rings,” Lecture Notes in Math. 818, Springer, Berlin, 1980.Google Scholar
  4. 4.
    D. S. Passman, “The Algebraic Structure of Group Rings, “Wiley-Interscience, New York, 1977, (Krieger, Malabar, 1985).MATHGoogle Scholar
  5. 5.
    D. S. Passman, Group rings of poly cyclic groups, in “Group Theory: essays for Philip Hall, “Academic Press, London, 1984, pp. 207–256.Google Scholar
  6. 6.
    D. S. Passman, “Infinite Crossed Products,” Academic Press, Boston, 1989.MATHGoogle Scholar
  7. 7.
    J. E. Roseblade, Prime ideals in group rings of polycyclic groups, Proc. London Math. Soc. (3) 36 (1978), 385–447.CrossRefMATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • D. S. Passman
    • 1
  1. 1.Department of MathematicsUniversity of Wisconsin-MadisonMadisonUSA

Personalised recommendations