February 10th, 2018, 02:02 PM  #1 
Member Joined: Jan 2015 From: usa Posts: 92 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 

Tags 
division, ring 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Long Division and Synthetic Division  DarkPassenger  Algebra  1  June 22nd, 2015 01:07 AM 
If revenue's at the Zurich division were less than those at Prague Division, then Zur  pnf123  Advanced Statistics  0  March 29th, 2014 06:26 AM 
Division Ring  sebaflores  Abstract Algebra  1  November 14th, 2013 03:47 PM 
If D is a division ring, why are Dmods semisimple?  watson  Abstract Algebra  2  December 27th, 2012 02:48 PM 
Ring and pseudoring  cgouttebroze  Abstract Algebra  5  August 14th, 2008 01:04 PM 