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A remark on Gelfand duality

Published online by Cambridge University Press:  17 April 2009

Shu-Hao Sun
Shu-Hao Sun
Affiliation:
Department of Pure Mathematics, University of Sydney, New South Wales 2006, Australia
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Abstract

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In this paper, we prove a Gelfand-Mulvey type of duality for a certain class of rings which includes the Gelfand rings. We also show that the Maximal Ideal Theorem (MIT) can be replaced by the Prime Ideal Theorem (PIT) in the original Gelfand-Mulvey duality.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 187 - 197
Copyright
Copyright © Australian Mathematical Society 1992

References

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