# Finite dimensional coalgebras with basis¶

sage.categories.finite_dimensional_coalgebras_with_basis.FiniteDimensionalCoalgebrasWithBasis(base_ring)

The category of finite dimensional coalgebras with a distinguished basis

EXAMPLES:

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


TESTS:

sage: TestSuite(C).run()


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