Homotopy theory of rings

DOI10.1016/0021-8693(71)90098-6zbMath0264.18009OpenAlexW1981076749MaRDI QIDQ2561644

Steve M. Gersten

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)90098-6

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 (16)

Homotopy theory of associative rings ⋮ The loop-stable homotopy category of algebras ⋮ Nilpotence and K-theory ⋮ The de Rham cohomology of soft function algebras ⋮ Universal bivariant algebraic \(K\)-theories ⋮ Geometric equivalence relations on modules ⋮ K-Theory of Free Rings ⋮ On a question of swan in algebraic k-theory ⋮ The homotopy groups of the simplicial mapping space between algebras ⋮ Building K-theories ⋮ Algebraic K-theory ⋮ Localization in algebraic K-theory ⋮ A K-theory for the category of projective algebras ⋮ THH and TC are (very) far from being homotopy functors ⋮ K-theory of tetrahedra ⋮ Some relations between higher K-functors

Cites Work

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• Adjoint functors and triples
• Etale homotopy
• On Mayer-Vietoris functors and algebraic K-theory
• \(K\)-theory and stable algebra
• The Whitehead group of a polynomial extension
• On the K-Theory of Laurent Polynomials
• Homotopy theory of rings and algebraic 𝐾-theory

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