The localization theorem for protective modules

DOI10.1080/00927877408822015zbMath0332.18013OpenAlexW2075664733MaRDI QIDQ4097079

Steve M. Gersten

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1080/00927877408822015

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (13)

A higher-dimensional Contou-Carrère symbol: local theory ⋮ Some formulas pertaining to the K-theory of commutative groupschemes ⋮ Localization for flat modules in algebraic K-theory ⋮ K-theory and localization of noncommutative rings ⋮ A Brown-Gersten spectral sequence for the K-theory of varieties with isolated singularities ⋮ Generalized Koszul resolution ⋮ Higher algebraic \(K\)-theory of admissible abelian categories and localization theorems ⋮ Algebraic K-theory ⋮ Localization in lower algebraic k-theory ⋮ The K-theory of hereditary categories ⋮ Algebraic K-theory and crystalline cohomology ⋮ A Note on the Localization Theorem for Projective Modules ⋮ K-theory of blow-ups and vector bundles on the cone over a surface

Cites Work

• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Grothendieck groups and Picard groups of abelian group rings
• Localization and completion in homotopy theory

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