#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:
  check arguments                    |  Work issues:
        Authors:  Martin Rubey       |       Commit:
Report Upstream:  N/A                |  3a7761e95b8ca8b83e08635828a3754d751fe918
         Branch:                     |     Stopgaps:
  u/mantepse/make_map_coefficients_in_modules_with_basis_safer_or_more_general|
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by mantepse):

 As it turns out, I get several failures when I insist on trying to coerce
 to the base ring!  (I pushed the nonworking branch, to get feedback.) For
 example:

 {{{
 File "src/sage/combinat/ncsf_qsym/ncsf.py", line 3405, in
 sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Psi
 Failed example:
     test_psi(2)
     ...
     TypeError: no conversion of this rational to integer
 }}}

 The test which fails looks as follows:

 {{{
 sage: NCSF = NonCommutativeSymmetricFunctions(ZZ)
 sage: R = NCSF.R()
 sage: Psi = NCSF.Psi()
 sage: n = 2; a = R.sum([(-1) ** i * R[[1]*i + [n-i]] for i in range(n)])
 sage: Psi(a)
 }}}

 The expected output is `Psi[2]` (literally).  The easy fix would be to add
 the optional argument `coerce=False` to the calls of `sum_of_terms` in
 `ncsf.py` everywhere, but I'm not sure whether this is what I should do -
 because that would mean that the answer to the question in my previous
 comment is "3".

 Martin

--
Ticket URL: <http://trac.sagemath.org/ticket/18264#comment:13>
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