A generalisation of Swan's theorem

DOI10.1007/BF01174725zbMath0321.16020MaRDI QIDQ1223473

Christopher J. Mulvey

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172431

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Topological and ordered rings and modules (16W80) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (10)

Sheaf representations and graded manifolds ⋮ Gelfand Factor Rings and Weak Zariski Topologies ⋮ A Serre‐Swan Theorem for Bundles of Topological Modules ⋮ K-theory of Gelfand rings ⋮ Algebraic Fiber Bundles ⋮ A generalisation of Gel'fand duality ⋮ Note on the Serre‐Swan theorem ⋮ Compact ringed spaces ⋮ Recovering a frame from its sheaves of algebras ⋮ Modules projectifs sur les anneaux de fonctions

Cites Work

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• Compact ringed spaces
• Singularities of differentiable maps
• 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
• Vector Bundles and Projective Modules
• Modules over commutative regular rings
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal
• Function algebras and the de Rham theorem in 𝑃𝐿

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