Question

Show that any finitely generated projective right module over a right artinian ring $R$ is isomorphic to a finite direct sum of principal indecomposable right modules of $R$.

   Show that any finitely generated projective right module over a right artinian ring $R$ is isomorphic to a finite direct sum of principal indecomposable right modules of $R$.

A First Course in Noncommutative Rings

Tsit-Yuen Lam 1st Edition

Chapter 7, Problem 13

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Show that any finitely generated projective right module over a right artinian ring $R$ is isomorphic to a finite direct sum of principal indecomposable right modules of $R$.

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