A remark on Gelfand duality

DOI10.1017/S0004972700011825zbMath0802.16001OpenAlexW2130427922MaRDI QIDQ3993944

Shu-Hao Sun

Publication date: 13 August 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700011825

zbMATH Keywords

functorGelfand dualityAxiom of ChoicePrime Ideal Theoremcategory of compact local ringed spacescategory of Gelfand ringsMaximal Ideal TheoremMulvey duality

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Applications of logic in associative algebras (16B70)

Related Items (2)

Noncommutative rings in which every prime ideal is contained in a unique maximal ideal ⋮ Sheaf representations of BL-algebras

Cites Work

• Compact ringed spaces
• A generalisation of Gel'fand duality
• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Rings in which every prime ideal is contained in a unique maximal right ideal
• On a representation of a strongly harmonic ring by sheaves
• On the Representation of Modules by Sheaves of Factor Modules

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