#15396: fix  .an_element for affine and projective spaces
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       Reporter:  bhutz              |        Owner:  bhutz
           Type:  defect             |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.1
      Component:  algebraic          |   Resolution:
  geometry                           |    Merged in:
       Keywords:  sage-days55,       |    Reviewers:
  TestSuite                          |  Work issues:
        Authors:  bhutz              |       Commit:
Report Upstream:  N/A                |  82b1a730e73cc6f57b64e6ed6fb6639a1103f09c
         Branch:  u/chapoton/15396   |     Stopgaps:
   Dependencies:                     |
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Comment (by bhutz):

 Yes, in just about any instance I can think of it will be fine. But, what
 if the base ring is something like {{{GL_n(F_2)}}} so that multiplying by
 2 gives you the zero matrix which is not in the ring, i.e.
 {{{2*R.an_element()}}} does not exist.

 I see now you are also removing the last coordinate{{{R.one()}}} from my
 code, in this case all you are really defining in the point
 {{{(n,n-1,n-2,...,1,0)}}} since in projective space you can just factor
 out the {{{R.an_element()}}} from each coordinate. So you certainly cannot
 just have some multiple of {{{R.an_element()}}} for every coordinate.

--
Ticket URL: <http://trac.sagemath.org/ticket/15396#comment:8>
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