Prime Ideals in Crossed Products

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


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.


Finite Group Prime Ideal Group Algebra Prime Ring Group Ring 
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Selected References

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    D. S. Passman, “Infinite Crossed Products,” Academic Press, Boston, 1989.MATHGoogle Scholar
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    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

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