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

On the Jacobson radical of graded rings

Andrei V. Kelarev (1992)

Commentationes Mathematicae Universitatis Carolinae

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

On the Jacobson radical of strongly group graded rings

Andrei V. Kelarev (1994)

Commentationes Mathematicae Universitatis Carolinae

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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.