#20214: Type inconsistencies in polynomial factorization
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-7.1
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Benjamin Hackl     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/behackl/polynomial/unit-parent-  |  e7d04c28ada863dd70b254707848bb57d3e65a35
  inconsistent                       |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by behackl):

 Replying to [comment:9 vdelecroix]:
 > It is not that trivial to fix. The thing is that you can not multiply by
 `0` in `GL` and there are much more restriction in `SL`... So the action
 should not go through a coercion.

 I'd propose to implement `_lmul_` and `_rmul_`; I agree that embedding via
 coercion is not practicable.

 Regarding the `base_ring` and the fact that there might not be one: yes,
 that has to be taken care of. I haven't thought of that because I was
 implementing the original version with #20086 in mind. I can't really
 contribute to the discussion which approach is the most suitable; it just
 has to be consistent.

--
Ticket URL: <http://trac.sagemath.org/ticket/20214#comment:11>
Sage <http://www.sagemath.org>
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