# Finite dimensional bialgebras with basis¶

sage.categories.finite_dimensional_bialgebras_with_basis.FiniteDimensionalBialgebrasWithBasis(base_ring)

The category of finite dimensional bialgebras with a distinguished basis

EXAMPLES:

sage: C = FiniteDimensionalBialgebrasWithBasis(QQ); C
Category of finite dimensional bialgebras with basis over Rational Field
sage: sorted(C.super_categories(), key=str)
[Category of bialgebras over Rational Field,
Category of coalgebras with basis over Rational Field,
Category of finite dimensional algebras with basis over Rational Field]
sage: C is Bialgebras(QQ).WithBasis().FiniteDimensional()
True


TESTS:

sage: TestSuite(C).run()


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