On the Jacobson radical of graded rings.

Kelarev, A.V.

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Displaying similar documents to “On the Jacobson radical of graded rings.”

On the Jacobson radical of graded rings

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All commutative semigroups $S$ are described such that the Jacobson radical is homogeneous in each ring graded by $S$ .

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On the Jacobson radical of strongly group graded rings

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For any non-torsion group $G$ with identity $e$ , we construct a strongly $G$ -graded ring $R$ such that the Jacobson radical $J (R_{e})$ is locally nilpotent, but $J (R)$ is not locally nilpotent. This answers a question posed by Puczyłowski.

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