Some relations between higher K-functors

DOI10.1016/0021-8693(72)90039-7zbMath0243.18020OpenAlexW2011564242MaRDI QIDQ2554407

Richard G. Swan

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90039-7

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (21)

Homotopy theory of Hopf Galois extensions. ⋮ Some aspects of homotopic algebra and non-abelian (co)homology theories ⋮ On the number of generators of ideals in polynomial rings ⋮ \(K_2\) of n lines in the plane ⋮ Nilpotence and K-theory ⋮ Hopf type formulas for cyclic homology ⋮ K-Theory of Free Rings ⋮ On a question of swan in algebraic k-theory ⋮ K-théorie algébrique négative et K-théorie topologique de l'algèbre de fréchet des opérateurs régularisants ⋮ \(K_ 2 \)and \(K_ 3 \)of the circle ⋮ \(K\)-regularity of locally convex algebras ⋮ Karoubi's conjecture for the smooth \(K\)-theory ⋮ Building K-theories ⋮ Algebraic K-theory ⋮ Higher Algebraic K-Theory ⋮ The homotopy exact sequence in algebraicK-Theory ⋮ K-theory of tetrahedra ⋮ A spectral sequence associated with a continuous map ⋮ SMOOTH K-THEORY OF LOCALLY CONVEX ALGEBRAS ⋮ Fundamental groups, algebraic K-theory, and a problem of Abhyankar ⋮ Equivariant homology and cohomology of groups

Cites Work

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• Adjoint functors and triples
• Spectral sequences of a double semi-simplicial group
• On the functor \(K_ 2\), I
• On Mayer-Vietoris functors and algebraic K-theory
• Relativizing functors on rings and algebraic K-theory
• On the cohomology and K-theory of the general linear groups over a finite field
• Homotopy theory of rings
• Whitehead groups of free associative algebras
• Algebraic \(K\)-theory
• Excision in algebraic \(K\)-theory

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