Displaying similar documents to “Some graded radicals of graded rings.”

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.

Some properties of graded comultiplication modules

Khaldoun Al-Zoubi, Amani Al-Qderat (2017)

Open Mathematics

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Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.