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February 10th, 2018, 01:02 PM   #1
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Division ring

I am now reviewing for a test. Can you please tell me where i can find a complete proof of the folowing result:

Let $D$ be a division ring and $V$ a left $D$-module. Show that the following are equivalent:
(i) $V$ is Noetherian,
(ii) $V$ has a finite basis,
(iii) $V$ is Artinian.

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