- #1
peteryellow
- 47
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Can somebody help me with the following proof:
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.
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.