A remark on Gelfand duality

Shu Hao Sun

doi:10.1017/S0004972700011825

A remark on Gelfand duality

Shu Hao Sun

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	187-197
Number of pages	11
Journal	Bulletin of the Australian Mathematical Society
Volume	46
Issue number	2
DOIs	https://doi.org/10.1017/S0004972700011825
Publication status	Published - 1992
Externally published	Yes

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title = "A remark on Gelfand duality",

abstract = "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.",

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AB - 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.

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SP - 187

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JO - Bulletin of the Australian Mathematical Society

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A remark on Gelfand duality

Abstract

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