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
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