Relativizing functors on rings and algebraic K-theory

DOI10.1016/0021-8693(71)90123-2zbMath0219.18007OpenAlexW2086454207MaRDI QIDQ2546940

Michael R. Stein

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-8693(71)90123-2

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items

Bak's work on theK-theory of rings ⋮ Linear groups over general rings. I: Generalities. ⋮ On universal central extensions of precrossed and crossed modules ⋮ Nilpotence and K-theory ⋮ On invariance of the Euler class groups under a subintegral base change ⋮ Injective stability for odd unitary \(K_1\) ⋮ Universal central extensions of precrossed modules and Milnor's relative \(K_{2}\) ⋮ Improved K₁-stability for the embedding D₅ into E₆ ⋮ Injective stability for 𝐾₂ of local rings ⋮ Relative commutator calculus in Chevalley groups. ⋮ A note on cancellation of projective modules ⋮ Odd unitary groups. ⋮ Standard commutator formula, revisited. ⋮ Relative subgroups in Chevalley groups ⋮ Nilpotency of Odd Unitary K₁-Functor ⋮ Algebraic K-theory ⋮ Excision in algebraic \(K\)-theory ⋮ Cohomologie et groupe de Steinberg rélatifs ⋮ The relativization of \(K_2\) ⋮ The radical \(RN\) and the weakly solvable radical of linear groups over associative rings. ⋮ \(K_2(A[X,Y/XY)\), a problem of Swan, and related computations] ⋮ Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian ⋮ The fundamental group of the general linear group ⋮ Chevalley groups over commutative rings. I: Elementary calculations ⋮ Some relations between higher K-functors

Cites Work

• Chevalley groups over commutative rings
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
• Algebraic \(K\)-theory
• Excision in algebraic \(K\)-theory
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