On Indecomposable Projective Modules
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On Indecomposable Projective Modules
Let \( A \) be a \( \mathbb{K} \)-algebra. Show that if \( P \) and \( Q \) are indecomposable projective \( A \)-modules and if \( \displaystyle f \ \colon P \longrightarrow Q \) is an \( A \)-module epimorphism, then \( f \) is an isomorphism.
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