#11861: Saturation of ideals
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       Reporter:  dangtuanhiep       |         Owner:  malb
           Type:  defect             |        Status:  needs_review
       Priority:  trivial            |     Milestone:  sage-5.11
      Component:  commutative        |    Resolution:
  algebra                            |     Merged in:
       Keywords:  saturation,        |     Reviewers:  Luis Felipe Tabera
  ideal, sd34                        |  Alonso
        Authors:  Hiep Dang, mmarco  |   Work issues:
Report Upstream:  N/A                |  Dependencies:
         Branch:                     |
       Stopgaps:                     |
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Old description:

> Returns the saturation of ideal with respect to another ideal.
> EXAMPLE:
> {{{
> sage: R.<x,y,z>=QQ[]
> sage: I = R.ideal(x^5*z^3,x*y*z,y*z^4)
> sage: J = R.ideal(z)
> sage: I.saturation(J)
> Ideal (y, x^5) of Multivariate Polynomial Ring in x, y, z over Rational
> Field
> }}}

New description:

 Returns the saturation of ideal with respect to another ideal.
 EXAMPLE:
 {{{
 sage: R.<x,y,z>=QQ[]
 sage: I = R.ideal(x^5*z^3,x*y*z,y*z^4)
 sage: J = R.ideal(z)
 sage: I.saturation(J)
 Ideal (y, x^5) of Multivariate Polynomial Ring in x, y, z over Rational
 Field
 }}}

 apply

 * [attachment:11861_one_method.patch]
 * [attachment:trac_11861_review.patch]

--

Comment (by chapoton):

 here is a review patch. if you are happy with my changes, you can set the
 ticket to positive review

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Ticket URL: <http://trac.sagemath.org/ticket/11861#comment:8>
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