Can somebody help me with the following proof:(adsbygoogle = window.adsbygoogle || []).push({});

Let M be a semisimple module, say M = +_IS_i, where + denotes direct sum and S_i is a simple module.

Then the number of summands is finite if and only of M is finitely generated.

I have problem with understanding the proof of the following in my notes:

if M is finitely generated then the number of summands is finite

Can somebody help me in this argument.

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# Semisimple modules

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