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Group rings which are v-HC orders and Krull orders

Published online by Cambridge University Press:  20 January 2009

K. A. Brown ,
H. Marubayashi  and
P. F. Smith
K. A. Brown
Affiliation:
Department of MathematicsUniversity of GlasgowUniversity Gardens Glasgow G12 8QW
H. Marubayashi
Affiliation:
Department of MathematicsUniversity of GlasgowUniversity Gardens Glasgow G12 8QW
P. F. Smith
Affiliation:
Department of MathematicsUniversity of GlasgowUniversity Gardens Glasgow G12 8QW
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Let R be a ring and G a polycyclic-by-finite group. In this paper, it is determined, in terms of properties of R and G, when the group ring R[G] is a prime Krull order and when it is a price v-HC order. The key ingredient in obtaining both characterizations is the first author's earlier study of height one prime ideals in the ring R[G[.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 2 , June 1991 , pp. 217 - 228
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

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