  We show that if a non-associative unital ring is graded by a hypercentral
group, then the ring is simple if and only if it is graded simple and the
center of the ring is a field. Thereby, we extend a result by Jespers to a
non-associative setting. By applying this result to non-associative crossed
products, we obtain non-associative analogues of results by Bell, Jordan and
Voskoglou. We also apply our result to Cayley-Dickson doublings, thereby
obtaining a new proof of a classical result by McCrimmon.
