K-theory and localization of noncommutative rings

DOI10.1016/0022-4049(80)90123-1zbMath0441.16020OpenAlexW1993052229MaRDI QIDQ1142825

Daniel R. Grayson

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)90123-1

zbMATH Keywords

localizationexact sequence of K-groupsleft Ore conditionmultiplicative set of nonzerodivisorsring of left quotients

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Localization and associative Noetherian rings (16P50)

Related Items (6)

Noncommutative localisation in algebraic \(K\)-theory. I ⋮ The localization sequence in \(K\)-theory ⋮ The K-theory of semilinear endomorphisms ⋮ Frobenius line invariance of algebraic 𝐾-theory ⋮ Higher algebraic \(K\)-theory of admissible abelian categories and localization theorems ⋮ Algebraic K-theory

Cites Work

• Unnamed Item
• Localization for flat modules in algebraic K-theory
• The K-theory of hereditary categories
• Acyclic localizations
• The localization theorem for protective modules

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