#19538: Fix LaurentPolynomialRing coercion issues
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       Reporter:         |        Owner:
  etn40ff                |       Status:  needs_review
           Type:         |    Milestone:  sage-6.10
  defect                 |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:
  algebra                |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  76ac4339b195762106d406516400f8468de844ef
  Salvatore Stella       |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/etn40ff/19358        |
   Dependencies:         |
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Comment (by vdelecroix):

 Replying to [comment:10 etn40ff]:
 > I am not really happy about the formulation of rule 2. What I mean by
 this is
 > that I find this example extremely confusing because it maps {{{y}}} to
 {{{x}}}
 > and {{{t}}} to {{{y}}}
 >
 > {{{
 > sage: R1 = PolynomialRing(ZZ, 'x,y')
 > sage: R5 = PolynomialRing(ZZ, 'y,t')
 > sage: map(R1, R5.gens())  # rule 2
 > [x, y]
 > }}}
 >
 > What is the rationale behind it?

 I would say: "A map between two rings is always better than a partial
 map". Whatever you think it is how it works in Sage. If you want to change
 it you should ask more opinions on
 [https://groups.google.com/forum/#!forum/sage-devel sage-devel].

 One possibility would be to modify the rule 2 in the following form

  2'. else if `R` has less or equal variables than `S` then the map `R ->
 S` is given by a mapping of the variables of `R` into `S` first trying to
 match names and then in variable order.

 But as I said, the place to discuss it is sage-devel and not a ticket.

--
Ticket URL: <http://trac.sagemath.org/ticket/19538#comment:11>
Sage <http://www.sagemath.org>
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