Nilpotence and K-theory

DOI10.1016/0021-8693(79)90281-3zbMath0422.18008OpenAlexW1990085505MaRDI QIDQ1133615

Charles A. Weibel

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90281-3

zbMATH Keywords

nilpotent elementsseminormalizationradicalhomotopizationKaroubi-Villamayor K-theory

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Homotopy functors in algebraic topology (55P65)

Related Items (7)

K-theory and analytic isomorphisms ⋮ \(K_2,K_3\) and nilpotent ideals ⋮ \(K_ 2 \)and \(K_ 3 \)of the circle ⋮ On a question posed by C. Weibel on surjectivity in algebraic \(K\)-theory ⋮ Algebraic v. Topological K-Theory: A Friendly Match ⋮ Algebraic K-theory ⋮ The cyclic homology and 𝐾-theory of curves

Cites Work

• The relativization of \(K_2\)
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• On Mayer-Vietoris functors and algebraic K-theory
• Relativizing functors on rings and algebraic K-theory
• Some relations between higher K-functors
• Homotopy theory of rings
• The homotopy exact sequence in algebraicK-Theory
• Karoubi-Villamayor K-Theory is not Homotopy Quillen Theory
• Introduction to Algebraic K-Theory. (AM-72)
• Excision in algebraic \(K\)-theory
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