Let $R$ be a ring an $M$ be a projective $R$-module. Show that there exists a free $R$-module $F$ such that $$M\oplus F\cong F.$$
Any hints?
Let $R$ be a ring an $M$ be a projective $R$-module. Show that there exists a free $R$-module $F$ such that $$M\oplus F\cong F.$$
Any hints?
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