#11199: QuotientRing elements are not callable
----------------------------+-----------------------------------------------
   Reporter:  vbraun        |       Owner:  AlexGhitza
       Type:  enhancement   |      Status:  new       
   Priority:  major         |   Milestone:  sage-4.7.1
  Component:  algebra       |    Keywords:            
     Author:  Volker Braun  |    Upstream:  N/A       
   Reviewer:                |      Merged:            
Work_issues:                |  
----------------------------+-----------------------------------------------
 It would be convenient if quotient ring elements would be callable like
 polynomials. This is currently not the case:
 {{{
 sage: R.<x,y> = QQ[]
 sage: I = R.ideal(x)
 sage: Q = R.quotient_ring(I)
 sage: Q
 Quotient of Multivariate Polynomial Ring in x, y over Rational Field by
 the ideal (x)
 sage: Q.inject_variables()
 Defining xbar, ybar
 sage: p = xbar + ybar
 sage: p(1,1)
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /home/vbraun/opt/sage-4.7.alpha4/devel/sage-main/<ipython console> in
 <module>()

 TypeError: 'QuotientRingElement' object is not callable
 }}}

 The attached patch implements this functionality by handing the argument
 through to the lift.

 Arguably, it should check that the result does not depend on the
 presentation. Pro: catches errors; Con: potentially slow, ideal membership
 test necessary if arguments are polynomials.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11199>
Sage <http://www.sagemath.org>
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