#8993: Representation of polynomial quotient rings in Singular
---------------------------+------------------------------------------------
   Reporter:  SimonKing    |       Owner:  was                               
       Type:  enhancement  |      Status:  new                               
   Priority:  major        |   Milestone:  sage-4.4.2                        
  Component:  interfaces   |    Keywords:  polynomial quotient ring, singular
     Author:  Simon King   |    Upstream:  N/A                               
   Reviewer:               |      Merged:                                    
Work_issues:               |  
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 Currently there is no representation of univariate polynomial quotient
 rings in the Singular interface; it was only implemented for the
 multivariate case.

 The attached patch implements it:
 {{{
 sage: P.<x> = QQ[]
 sage: Q.<xi> = P.quo([(x^2+1)])
 sage: singular(xi)
 xi
 sage: singular(Q)
 //   characteristic : 0
 //   number of vars : 1
 //        block   1 : ordering lp
 //                  : names    xi
 //        block   2 : ordering C
 // quotient ring from ideal
 _[1]=xi^2+1
 sage: (singular(xi)*singular(xi)).NF('std(0)')
 -1
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8993>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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