#5484: improve quotients of univariate polynomial rings
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       Reporter:  AlexGhitza         |        Owner:  malb
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  commutative        |   Resolution:
  algebra                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Bruno Grenet       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  10eaf305bfa53cdffa6a9519f86c477e10eec443
  u/bruno/quotient_rings_univariate  |     Stopgaps:
   Dependencies:                     |
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Comment (by bruno):

 Replying to [comment:12 darij]:
 > Sorry, but the new quotient rings don't play well with the quotient ring
 interface (or what could be reasonably expected to be the quotient ring
 interface):

 What do you suggest? I can imagine three solutions:
 * Make `R.quotient_by_principal_ideal(R.ideal(2))` return a
 `Polynomial_quotient_ring`: I doubt this is in principle impossible, but
 at least it requires quite a lot of changes.
 * Keep `R.quotient_by_principal_ideal(R.ideal(2))` return a `TypeError`
 * Implement a `lift` method for `PolynomialRing_dense_mod_p`.

 None of the three solutions is really fine to my mind, so feel free to
 suggest another one!

--
Ticket URL: <http://trac.sagemath.org/ticket/5484#comment:13>
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