  Let $A=\oplus_{i\in \mathbb{Z}}A_i$ be a finite dimensional graded symmetric
cellular algebra with a homogeneous symmetrizing trace of degree $d$. We prove
that $A_{-d}$ contains the Higman ideal $H(A)$ of the center of $A$ and $\dim
H(A)\leq \dim A_{0}$ if $d\neq 0$, and provide a semisimplicity criterion of
$A$ in terms of the centralizer of $A_0$, which is a graded version of
\cite[Theorem 3.2]{L}.
