A generalisation of Gel'fand duality

DOI10.1016/0021-8693(79)90352-1zbMath0498.16035OpenAlexW2063932205MaRDI QIDQ1171117

Christopher J. Mulvey

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90352-1

zbMATH Keywords

dualitymaximal idealsZariski topologyring of sectionscategory of Gel'fand ringslocal fibers

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

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Cites Work

• Compact ringed spaces
• A generalisation of Swan's theorem
• On a representation of a strongly harmonic ring by sheaves
• A condition for a ringed space to be a generator in its category of modules
• A Categorical Characterisation of Compactness
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal
• On the Representation of Modules by Sheaves of Factor Modules
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