#18264: make map_coefficients in modules_with_basis safer or more general
-------------------------------------+-------------------------------------
       Reporter:  mantepse           |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-6.7
      Component:  algebra            |   Resolution:
       Keywords:  map_coefficients,  |    Merged in:
  modules_with_basis, base_ring,     |    Reviewers:  Nicolas M. ThiƩry
  check arguments                    |  Work issues:
        Authors:  Martin Rubey       |       Commit:
Report Upstream:  N/A                |  985e716e917594185bf6ac44f9a602f8bd92f545
         Branch:                     |     Stopgaps:
  u/mantepse/make_map_coefficients_in_modules_with_basis_safer_or_more_general|
   Dependencies:                     |
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Comment (by mantepse):

 I investigated the failure in
 `sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.coproduct`,
 which is actually not a real failure:
 {{{
 Failed example:
     SteenrodAlgebra(p=11, profile=((), (2,1,2))).Q(0,2).coproduct()
 Expected:
     1 # Q_0 Q_2 + Q_0 # Q_2 + Q_0 Q_2 # 1 - Q_2 # Q_0
 Got:
     1 # Q_0 Q_2 + Q_0 # Q_2 + Q_0 Q_2 # 1 + 10*Q_2 # Q_0

 }}}

 The `p=11` in the example means that the coefficient ring is the field
 with 11 elements, so -1 and 10 are actually the same thing.

--
Ticket URL: <http://trac.sagemath.org/ticket/18264#comment:23>
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