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ISSN 1088-6826(e) ISSN 0002-9939(p)

Wedderburn's factorization theorem application to reduced -theory

Author(s): R. Hazrat
Journal: Proc. Amer. Math. Soc. 130 (2002), 311-314.
MSC (2000): Primary 16A39
Posted: May 25, 2001
MathSciNet review: 1862107
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Abstract | References | Similar articles | Additional information

Abstract:

This article provides a short and elementary proof of the key theorem of reduced -theory, namely Platonov's Congruence theorem. Our proof is based on Wedderburn's factorization theorem.

References:

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Additional Information:

R. Hazrat
Affiliation: Department of Mathematics, University of Bielefeld, P. O. Box 100131, 33501 Bielefeld, Germany
Email: rhazrat@mathematik.uni-bielefeld.de

DOI: 10.1090/S0002-9939-01-06083-X
PII: S 0002-9939(01)06083-X
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
Posted: May 25, 2001
Communicated by: Lance W. Small
Copyright of article: Copyright 2001, American Mathematical Society

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