#12803: quotient of ideals throws up Singular bug
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       Reporter:  mariah                         |        Owner:  malb
           Type:  defect                         |       Status:  new
       Priority:  major                          |    Milestone:  sage-6.4
      Component:  commutative algebra            |   Resolution:
       Keywords:                                 |    Merged in:
        Authors:                                 |    Reviewers:
Report Upstream:  Fixed upstream, in a later     |  Work issues:
  stable release.                                |       Commit:
         Branch:                                 |     Stopgaps:
   Dependencies:                                 |
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Comment (by jakobkroeker):

 the bug above is fixed by upgrade to Singular 3.1.7

 but there is at least another one (fixed in 4.0.1, see ticket #17254):

 {{{
 R.<xe,xv> = ZZ[]

 J = Ideal(4*xv^3+3*xv^2, 3*xe*xv^2+xe-2*xv);

 I  = Ideal(-3, -3*xv-1, -3);
 I2 = Ideal(-3, -3*xv-1);
 assert( I  == I2 )

 Q1 = J.quotient(I) # wrong
 Q2 = J.quotient(I2)


 assert( Q1 == Q2 ) # fails
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/12803#comment:8>
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