#8876: Allows triangular morphisms to have domain and codomain with different
index sets
------------------------------+---------------------------------------------
   Reporter:  hivert          |       Owner:  hivert              
       Type:  enhancement     |      Status:  positive_review     
   Priority:  major           |   Milestone:  sage-4.4.4          
  Component:  categories      |    Keywords:  Triangular Morphisms
     Author:  Florent Hivert  |    Upstream:  N/A                 
   Reviewer:  Jason Bandlow   |      Merged:                      
Work_issues:                  |  
------------------------------+---------------------------------------------
Changes (by hivert):

  * status:  needs_review => positive_review


Old description:

> Currently triangular morphisms required to have domain and codomain with
> the
> same index sets. The patch remove this limitation by having
> !TriangularMorphism accept a new argument {{{inverse_on_support}}}. It is
> supposed to be a function `r : J |--> I` returning the leading term `i`
> from the one of `j = on_basis(i)`. This is used by: {{{preimage}}} and
> {{{section}}}.
>
> I also wrote the methods {{{co_kernel_projection}}}, {{{co_reduced}}},
> and
> {{{_test_triangular}}}.

New description:

 Currently triangular morphisms required to have domain and codomain with
 the
 same index sets. The patch remove this limitation by having
 !TriangularMorphism accept a new argument {{{inverse_on_support}}}. It is
 supposed to be a function `r : J |--> I` returning the leading term `i`
 from the one of `j = on_basis(i)`. This is used by: {{{preimage}}} and
 {{{section}}}.

 I also wrote the methods {{{co_kernel_projection}}}, {{{co_reduced}}}, and
 {{{_test_triangular}}}.

 Depend on #8881 and #8742, Apply patch in that order:
  - [http://trac.sagemath.org/sage_trac/attachment/ticket/8876/trac_8876
 -triangular_morphisms_improve-fh.patch trac_8876
 -triangular_morphisms_improve-fh.patch]
  - [http://trac.sagemath.org/sage_trac/attachment/ticket/8876/trac_8876
 -reviewer_patch-jb.patch trac_8876-reviewer_patch-jb.patch]

--

Comment:

 Everything was ok with the following patch applied:
 {{{
 trac_8881-functorial_constructions-nt.patch
 trac_8742-lazy_format-fh.patch
 trac_8742-lazy_format-review-nt.patch
 trac_8876-triangular_morphisms_improve-fh.patch
 trac_8876-reviewer_patch-jb.patch
 }}}

 Thanks for the review and the corrections. Your patch is good. Positive
 review

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8876#comment:3>
Sage <http://www.sagemath.org>
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