Answer to Question #23558 in Algebra for Irvin

Question #23558
Show that statement "for any von Neumann regular ring k, any finitely generated submodule M of a projective k-module P is a direct summand of P" is equivalent to the fact that, if k is a von Neumann regular ring, then so is Mn(k) for any n ≥ 1.
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Expert's answer
2013-02-06T07:41:28-0500
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