#11350: Fraction fields should know whether they are finite or not.
-------------------------------+--------------------------------------------
   Reporter:  SimonKing        |          Owner:  AlexGhitza               
       Type:  enhancement      |         Status:  needs_review             
   Priority:  major            |      Milestone:  sage-4.7.1               
  Component:  algebra          |       Keywords:  fraction field, is_finite
Work_issues:                   |       Upstream:  N/A                      
   Reviewer:  Robert Bradshaw  |         Author:  Simon King               
     Merged:                   |   Dependencies:                           
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Old description:

> If I am not mistaken, a fraction field of an integral domain R is finite
> if and only if R is finite. Hence, we should not have a
> `NotImplementedError` but the following:
> {{{
>             sage: Frac(QQ['a','b','c']).is_finite()
>             False
> }}}

New description:

 If I am not mistaken, a fraction field of an integral domain R is finite
 if and only if R is finite. Hence, we should not have a
 `NotImplementedError` but the following:
 {{{
             sage: Frac(QQ['a','b','c']).is_finite()
             False
 }}}

 Apply:

 [attachment:trac11350_fractionfield_is_finite.patch]

 [attachment:trac11350_docfix.patch]

--

Comment(by SimonKing):

 I merged Jeroens example into my patch. So:

 Apply trac11350_fractionfield_is_finite.patch trac11350_docfix.patch

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11350#comment:15>
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