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June 8th, 2017, 12:03 PM  #11  
Newbie Joined: Apr 2017 From: Europe Posts: 15 Thanks: 1 
No, no, we aren't talking about rings of formal power series. I meant field of rational functions. Sorry. :< Quote:
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Is everything clear now?  
June 8th, 2017, 12:09 PM  #12  
Senior Member Joined: Aug 2012 Posts: 1,414 Thanks: 342  Quote:
Last edited by Maschke; June 8th, 2017 at 12:14 PM.  
June 8th, 2017, 12:18 PM  #13 
Newbie Joined: Apr 2017 From: Europe Posts: 15 Thanks: 1 
Okay, thank you all kindly.

June 8th, 2017, 12:27 PM  #14 
Senior Member Joined: Aug 2012 Posts: 1,414 Thanks: 342  Glad that was helpful. ABVictor's example of rational functions is much more concrete than my idea of using algebraic closures, since the latter are quite murky even though they do exist. If you are interested in finite fields you should see if you can work out the field of four elements. 

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characteristic, field, finite, infinite 
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