My Math Forum Division ring

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 February 10th, 2018, 01:02 PM #1 Senior Member   Joined: Jan 2015 From: usa Posts: 100 Thanks: 0 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. Thanks

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