Oh, and this is also the case over other base rings, like over GF(p).

On May 18, 2:43 pm, benjamin antieau <d.ben.anti...@gmail.com> wrote:
> I noticed the following incorrect behavior.
>
> sage: C=simplicial_complexes.ChessboardComplex(3,3).chain_complex()
> sage: C.category()
> Category of chain complexes over Integer Ring
> sage: A=C.category()
> sage: A.is_abelian()
> False
>
> As far as I can tell ChainComplexes inherits is_abelian from
> AbelianCategory, so I don't know what the problem is.
>
> class ChainComplexes(Category_module):
> class Category_module(Category_over_base_ring, AbelianCategory):
> class AbelianCategory:
>     def is_abelian(self):
>         return True
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