#16940: An element method for vector_space_homspace.py
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       Reporter:  knsam,             |        Owner:
  mkamalakshya                       |       Status:  needs_work
           Type:  enhancement        |    Milestone:  sage-6.4
       Priority:  minor              |   Resolution:
      Component:  categories         |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Kamalakshya        |  Work issues:
  Mahatab, Kannappan Sampath         |       Commit:
Report Upstream:  N/A                |  ea7fff36089ce3e768bd678a554464a3896a1276
         Branch:                     |     Stopgaps:
  public/kamalakshya/an_element      |
   Dependencies:                     |
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Changes (by vdelecroix):

 * status:  needs_review => needs_work


Comment:

 Hello,

 Actually I think that this is a bug
 {{{
 sage: V1 = GF(2)**3
 sage: V2 = GF(7)**5
 sage: Hom(V1,V2)
 Set of Morphisms (Linear Transformations)
 from
   Vector space of dimension 3 over Finite Field of size 2
 to
   Vector space of dimension 5 over Finite Field of size 7
 sage: _.category()
 Category of homsets of modules with basis over (finite fields
 and subquotients of monoids and quotients of semigroups)
 }}}
 Don't you?

 I would either open another ticket or solve it here (at the level of
 `FreeModuleHomspace`). In your `_an_element_` you should not worry about
 the `EmptySetError` being raised. The homset between free modules (over
 the same base ring) always contain zero and so is '''never''' empty!

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/16940#comment:2>
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