Geodesic
The graded Jacobson radical of associative rings
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2009), pp. 31-36

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We introduce a consistent definition for the graded Jacobson radical for group graded rings without unity. We compare the graded Jacobson radical for rings with unity and those without. We find that for group graded rings, the descriptions are equivalent. 
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     author = {B. J. Gardner and A. Plant},
     title = {The graded {Jacobson} radical of associative rings},
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     year = {2009},
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B. J. Gardner; A. Plant. The graded Jacobson radical of associative rings. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2009), pp. 31-36. http://geodesic.mathdoc.fr/item/BASM_2009_1_a2/