A remark on Gelfand duality

Shu Hao Sun

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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.

Original languageEnglish
Pages (from-to)187-197
Number of pages11
JournalBulletin of the Australian Mathematical Society
Issue number2
Publication statusPublished - 1992
Externally publishedYes

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