rhazrat@mathematik.uni-bielefeld.de

Submission: 2000, April 6, revised: 2000, June 4

We give a short and elementary proof of the key theorem of reduced $K$-theory, namely, Platonov Congruence theorem, based on Wedderburn factorization theorem.

1991 Mathematics Subject Classification:

Keywords and Phrases: Division algebra, Reduced $K$-theory, Congruence theorem, Reduced Whitehead group

Full text: dvi.gz 9 k, dvi 20 k, ps.gz 131 k, pdf.gz 115 k, pdf 150 k.

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