#10949: Passing a "check if ideal is prime" argument to Spec
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   Reporter:  weaam               |       Owner:  AlexGhitza                
       Type:  defect              |      Status:  new                       
   Priority:  major               |   Milestone:  sage-4.7                  
  Component:  algebraic geometry  |    Keywords:  Spec prime ideals spectrum
     Author:                      |    Upstream:  N/A                       
   Reviewer:                      |      Merged:                            
Work_issues:                      |  
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Description changed by weaam:

Old description:

> Spec doesn't take an optional argument to check if a point (ideal) is
> prime. This can be confusing, for example
> {{{
> sage: Spec(Z)(ZZ.ideal(6))
> }}}
> returns a "Point on Spectrum...".
>

> See discussion at http://ask.sagemath.org/question/439/prime-ideals-and-
> point-on-spectrum
> Passing check=True only through
> `sage.schemes.generic.point.SchemeTopologicalPoint_prime_ideal.__init__`
> (as explained by user niles in that link).

New description:

 Spec doesn't check if a point (ideal) is prime, although check=True by
 default.

 {{{
 sage: Spec(Z, check=True)(ZZ.ideal(6))
 }}}
 returns a "Point on Spectrum...".

 The issue is explained by user niles at
 http://ask.sagemath.org/question/439/prime-ideals-and-point-on-spectrum

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10949#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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