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The fundamental prime ideals of a noetherian prime PI ring

Published online by Cambridge University Press:  20 January 2009

T. H. Lenagan  and
Edward S. Letzter
T. H. Lenagan
Affiliation:
Mathematics Department, King's Buildings, Mayfield Road, Edinburgh Eh9 3JZ
Edward S. Letzter
Affiliation:
Mathematics Department, University of Washington, GN-50 SeattleWashington 98195
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Abstract

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Let R be a noetherian prime PI ring and let P be a prime ideal of R. There is a set of prime ideals, the fundamental prime ideals, associated with the injective hull of R/P and denoted by Fund(P). The set Fund(P) is finite, by a result of Miiller. In this paper we give a natural description of Fund(P) in terms of the trace ring of R which strengthens Miiller's result by establishing a uniform bound for the size of Fund(P) for all primes P in the ring.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 1 , February 1990 , pp. 113 - 121
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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