Has any finite ring (not necessarily commutative) always stable rank 2 ? How do you prove that or does it follow from something ? May be this question is trivial but I'm not familiar with K-theory.
1 Answer
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Finite is semilocal, and semilocal rings always have stable rank 1 (even if non-commutative), as shown in Lemma 6.4 and Corollary 6.5 of Bass' "K-Theory and stable algebra".