February 10th, 2018, 02:02 PM  #1 
Senior Member Joined: Jan 2015 From: usa Posts: 103 Thanks: 1  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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