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Show that a ring $R$ is local if and only if every principal left $R$-module is indecomposable.

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What's in it for me? –  Igor Rivin Dec 12 '10 at 21:51
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Hi Arash: questions that begin with "Show that..." typically are not greeted warmly on this site. –  Hailong Dao Dec 12 '10 at 21:58
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Why not ask your questions on math.stackexchange.com ? –  Jason Dec 12 '10 at 22:01
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closed as too localized by Andreas Thom, Andrew Stacey, Ryan Budney, Yemon Choi, Charles Siegel Dec 12 '10 at 23:43

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