#10963: More functorial constructions
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:  stumpc5
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.1
      Component:  categories         |   Resolution:
       Keywords:  days54             |    Merged in:
        Authors:  Nicolas M. Thiéry  |    Reviewers:  Simon King, Frédéric
Report Upstream:  N/A                |  Chapoton
         Branch:                     |  Work issues:
  public/ticket/10963                |       Commit:
   Dependencies:  #11224, #8327,     |  eb7b486c6fecac296052f980788e15e2ad1b59e4
  #10193, #12895, #14516, #14722,    |     Stopgaps:
  #13589, #14471, #15069, #15094,    |
  #11688, #13394, #15150, #15506     |
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Comment (by SimonKing):

 PS: Adding a generator `fields` in our boolean polynomial ring, we get
 {{{
 sage: P.<magma, additive_magma, ring, field, distributive, finite,
 division, commutative> = BooleanPolynomialRing()
 sage: R = P*[field-ring*division*commutative, ring*division*finite-
 ring*division*commutative*finite, ring-magma*additive_magma*distributive]
 sage:
 (magma*additive_magma*distributive*finite*division).reduce(R.groebner_basis())
 field*finite
 sage: (ring*commutative*finite*division).reduce(R.groebner_basis())
 field*finite
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:415>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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