Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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

Author: R. Hazrat
Journal: Proc. Amer. Math. Soc. 130 (2002), 311-314
MSC (2000): Primary 16A39
Published electronically: May 25, 2001
MathSciNet review: 1862107
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This article provides a short and elementary proof of the key theorem of reduced $K$-theory, namely Platonov's Congruence theorem. Our proof is based on Wedderburn's factorization theorem.

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Additional Information

R. Hazrat
Affiliation: Department of Mathematics, University of Bielefeld, P. O. Box 100131, 33501 Bielefeld, Germany

Keywords: Division algebra, reduced $K$-theory, congruence theorem, reduced Whitehead group
Received by editor(s): April 13, 2000
Received by editor(s) in revised form: June 12, 2000
Published electronically: May 25, 2001
Communicated by: Lance W. Small
Article copyright: © Copyright 2001 American Mathematical Society