ON WHEN A GRADED RING IS GRADED EQUIVALENT TO A CROSSED PRODUCT

Let R be a ring graded by a group G. We are concerned with describing those G-graded rings that are graded equivalent to G-crossed products. We give necessary and sufficient conditions for when a strongly grade d ring is graded equivalent to a crossed product, provided that the 1- component is either Azumaya or semiperfect. Our result uses the torsio n product theorem of Bass and Guralnick. We also construct various exa mples of such rings.