#14058: Weakly reference binary operation codomains
-------------------------------------+-------------------------------------
       Reporter:  robertwb           |        Owner:  rlm
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.4
      Component:  memleak            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Robert Bradshaw    |    Reviewers:  Simon King
Report Upstream:  N/A                |  Work issues:  Fix doctests
         Branch:                     |       Commit:
  u/SimonKing/weakly_reference_binary_operation_codomains|  
90ed181ae9df152e99a652636a7e9dc29b466916
   Dependencies:  #12313             |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 In the following example
 {{{
             sage: import gc
             sage: from sage.rings.polynomial.plural import
 NCPolynomialRing_plural
             sage: from sage.algebras.free_algebra import FreeAlgebra
             sage: A1.<x,y,z> = FreeAlgebra(QQ, 3)
             sage: R1 = A1.g_algebra({y*x:x*y-z, z*x:x*z+2*x, z*y:y*z-2*y},
 order=TermOrder('degrevlex', 2))
             sage: A2.<x,y,z> = FreeAlgebra(GF(5), 3)
             sage: R2 = A2.g_algebra({y*x:x*y-z, z*x:x*z+2*x, z*y:y*z-2*y},
 order=TermOrder('degrevlex', 2))
             sage: A3.<x,y,z> = FreeAlgebra(GF(11), 3)
             sage: R3 = A3.g_algebra({y*x:x*y-z, z*x:x*z+2*x, z*y:y*z-2*y},
 order=TermOrder('degrevlex', 2))
             sage: A4.<x,y,z> = FreeAlgebra(GF(13), 3)
             sage: R4 = A4.g_algebra({y*x:x*y-z, z*x:x*z+2*x, z*y:y*z-2*y},
 order=TermOrder('degrevlex', 2))
             sage: _ = gc.collect()
             sage: foo = R1.gen(0)
             sage: del foo
             sage: del R1
             sage: _ = gc.collect()
             sage: del R2
             sage: _ = gc.collect()
             sage: del R3
             sage: _ = gc.collect()
 }}}
 the reference counting goes wrong after each `gc.collect()`.

--
Ticket URL: <http://trac.sagemath.org/ticket/14058#comment:40>
Sage <http://www.sagemath.org>
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