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Stability of Gelfand–Kirillov dimension for rings with the strong second layer condition

Published online by Cambridge University Press:  20 January 2009

T. H. Lenagan
T. H. Lenagan
Affiliation:
Department of Mathematics and StatisticsJames Clerk Maxwell BuildingKing's BuildingsEdinburgh EH9 3JZ
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Abstract

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We study the influence of the link structure of the prime spectrum of a Noetherian ring on the representation theory of the ring in the case that the ring satisfies the strong second layer condition and has exact integer Gelfand–Kirillov dimension. In particular, we show that Jategaonkar's density condition is satisfied and that the growth of an injective module is controlled by the growth of its first layer.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 2 , June 1994 , pp. 347 - 354
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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