def METHOD_NAME(self):
    r"""
    Return a string representation of ``self``.
    EXAMPLES::
        sage: M = FiniteRankFreeModule(ZZ, 3, name='M')
        sage: e = M.basis('e')
        sage: T11 = M.tensor_module(1,1)
        sage: e_T11 = T11.basis('e')
        sage: e_T11
        Standard basis on the
         Free module of type-(1,1) tensors on the Rank-3 free module M over the Integer Ring
         induced by Basis (e_0,e_1,e_2) on the Rank-3 free module M over the Integer Ring
    """
    return f"Standard basis on the {self._fmodule} induced by {self._base_module_basis}"