On the Jacobson radical of graded rings
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 21-24.

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All commutative semigroups $S$ are described such that the Jacobson radical is homogeneous in each ring graded by $S$.
Classification : 16A20, 16A21, 16N20, 16N40, 16W50, 20C05, 20M14
Keywords: Jacobson radical; $G$-graded ring ($G$ a commutative semigroup)
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Kelarev, A. V. On the Jacobson radical of graded rings. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 21-24. http://geodesic.mathdoc.fr/item/CMUC_1992__33_1_a1/