I don't have my hands on the book of Nastasescu and Van Oystaeyen on graded rings, which I believe contains this result, but here is a reference to a paper by H. Li, <a href="http://arxiv.org/abs/1108.0258">"On Monoid Graded Local Rings"</a>, where the author proves, in section 2, that in a $\Gamma$-graded ring, $A$, where $\Gamma$ is a cancellation monoid with neutral element $e$, one has that $A_e$ is a local ring if and only if the graded two-sided ideal generated by homogeneous non-units is proper.