K-theory of Gelfand rings

DOI10.1016/0022-4049(80)90048-1zbMath0435.18014OpenAlexW2095129387MaRDI QIDQ1140151

Michel Carral

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90048-1

zbMATH Keywords

vector bundlesspectrumZariski topologyGrothendieck groupKrull dimensionGelfand ringsCech covering dimensionNoether ringsprojective module of finite type

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (6)

Sheaf representations and graded manifolds ⋮ Gelfand Factor Rings and Weak Zariski Topologies ⋮ Rings and sheaves ⋮ On cerrain classes of pe-rings ⋮ Elementary properties of minimal and maximal points in Zariski spectra ⋮ Modules projectifs sur les anneaux de fonctions

Cites Work

• A generalisation of Swan's theorem
• Stable rank of rings and dimensionality of topological spaces
• Vector Bundles and Projective Modules
• Topological Examples of Projective Modules
• On Finitely Generated Flat Modules.
• Couples spectraux et faisceaux associés. Applications aux anneaux de fonctions
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