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The natural topology of Matlis reflexive modules

Published online by Cambridge University Press:  17 April 2009

Richard Belshoff
Richard Belshoff
Affiliation:
Department of Mathematics, Southwest Missouri State University Springfield, MO 64804-0094, United States of America
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Abstract

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For a complete local ring R with maximal ideal m, we define a linear topology on a Matlis reflexive R-module M which coincides with the m-adic topology on M in case M is finitely generated. We show that a Matlis reflexive module is complete in this topology.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 1 , February 1993 , pp. 149 - 154
Copyright
Copyright © Australian Mathematical Society 1993

References

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