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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