#20896: calling GF(2)**2 breaks CyclicPermutationGroup(10).algebra(GF(5))
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       Reporter:  dimpase     |        Owner:
           Type:  defect      |       Status:  new
       Priority:  major       |    Milestone:  sage-7.3
      Component:  categories  |   Resolution:
       Keywords:              |    Merged in:
        Authors:              |    Reviewers:
Report Upstream:  N/A         |  Work issues:
         Branch:              |       Commit:
   Dependencies:              |     Stopgaps:
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Comment (by tscrim):

 Something I've come across is that I have wanted to check category
 containment of objects (along with axioms), but with not necessarily
 knowing what the object's base ring is (or if it even has one), I couldn't
 get this to work easily. In particular, the category containment checking
 had trouble differentiating between when something was in
 `Algebras(Rings())` and Algebras(ZZ)` IIRC. So I'm +1 for moving
 completely to singleton categories.

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Ticket URL: <https://trac.sagemath.org/ticket/20896#comment:4>
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