#16301: bug in quotient() over integer coefficient ring
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   Reporter:             |            Owner:
  jakobkroeker           |           Status:  new
       Type:  defect     |        Milestone:  sage-6.3
   Priority:  major      |         Keywords:  bug quotient integer
  Component:             |          Authors:
  commutative algebra    |  Report Upstream:  Fixed upstream, but not in a
  Merged in:             |  stable release.
  Reviewers:             |           Branch:
Work issues:             |     Dependencies:
     Commit:             |
   Stopgaps:             |
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 Hello,

 there is a bug in {{{quotient()}}} over integer coefficient ring.
 Here is an example:
 {{{
  R.<x,y,z>= ZZ[]
  I = Ideal( R(2), x*y, x*z + x)
  eD = Ideal( x, z^2-1)
  I.quotient(eD) //=0 , sage 6.2.rc1, Release Date: 2014-04-30
  // correct result: 2, x*z + x, x*y
 }}}

 This is caused by a bug in Singular. It's probably already fixed in the
 inofficial(?) release
 (https://github.com/Singular/Sources/releases).

 But there are other major bugs in Singular over integer coefficient ring
 (e.g. http://www.singular.uni-kl.de:8002/trac/ticket/540) which are only
 fixed in the recent development version.

--
Ticket URL: <http://trac.sagemath.org/ticket/16301>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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