Wedderburn’s factorization theorem application to reduced $K$-theory

DOI10.1090/S0002-9939-01-06083-XzbMath0990.16020OpenAlexW1939733866MaRDI QIDQ2758964

Roozbeh Hazrat

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06083-x

zbMATH Keywords

division algebrasreduced \(K\)-theoryreduced Whitehead groupsminimal polynomialscongruence theoremHenselian valuations

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Related Items (10)

On torsion subgroups of Whitehead groups of division algebras. ⋮ A Criterion for the Triviality ofG(D) and Its Applications to the Multiplicative Structure ofD ⋮ Reduced \(K\)-theory of Azumaya algebras. ⋮ \(\text{SK}_1\) of graded division algebras. ⋮ The structure of quadratic groups over commutative rings. ⋮ Homogeneous skew fields of noncommutative rational functions and their reduced Whitehead groups. ⋮ The yoga of commutators: further applications. ⋮ \(SK_1\)-like functors for division algebras ⋮ Another presentation for symplectic Steinberg groups ⋮ Multiple commutator formulas for unitary groups

Cites Work

• Totally Ramified Valuations on Finite-Dimensional Division Algebras
• Extending Valuations to Finite Dimensional Division Algebras
• THE TANNAKA-ARTIN PROBLEM AND REDUCEDK-THEORY
• \(SK_1\)-like functors for division algebras
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