#7457: improvements to quotient_ring.py
---------------------------+------------------------------------------------
   Reporter:  AlexGhitza   |       Owner:  AlexGhitza 
       Type:  enhancement  |      Status:  needs_info 
   Priority:  minor        |   Milestone:  sage-4.3   
  Component:  algebra      |    Keywords:             
Work_issues:               |      Author:  Alex Ghitza
   Reviewer:               |      Merged:             
---------------------------+------------------------------------------------
Changes (by jhpalmieri):

  * status:  needs_review => needs_info


Comment:

 Can {{{self.cover_ring()}}} ever be non-Noetherian (with our current
 code)?

 Of course if you take an infinitely generated polynomial ring over a field
 and mod out by all of the polynomial generators, the quotient is
 Noetherian but the cover ring is not.  I don't know if that can come up in
 Sage now, and I also don't know how else we would easily tell whether the
 quotient ring is Noetherian...

 Otherwise, the patch looks good.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7457#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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