#16135: Implement QuotientRingElement._im_gens_()
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   Reporter:  pbruin     |            Owner:
       Type:             |           Status:  new
  enhancement            |        Milestone:  sage-6.2
   Priority:  minor      |         Keywords:  quotient ring fraction field
  Component:  algebra    |  homomorphism
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 Ring homomorphisms whose domain is the fraction field of a quotient ring
 don't work correctly:
 {{{
 sage: R.<x, y> = QQ[]
 sage: K = R.quotient(x^2 - y^3).fraction_field()
 sage: L.<t> = FunctionField(QQ)
 sage: f = K.hom((t^3, t^2))
 sage: f
 Ring morphism:
   From: Fraction Field of Quotient of Multivariate Polynomial Ring in x, y
 over Rational Field by the ideal (-y^3 + x^2)
   To:   Rational function field in t over Rational Field
   Defn: xbar |--> t^3
         ybar |--> t^2
 sage: f(K.gens()[0])
 Traceback (most recent call last):
 ...
 NotImplementedError
 }}}
 This can be fixed by implementing `QuotientRingElement._im_gens_()`.

--
Ticket URL: <http://trac.sagemath.org/ticket/16135>
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