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Displaying similar documents to “Applications of epigroups to graded ring theory.”

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.

Weak dimension of group-graded rings.

Angel del Río (1990)

Publicacions Matemàtiques

Similarity:

We study the weak dimension of a group-graded ring using methods developed in [B1], [Q] and [R]. We prove that if R is a G-graded ring with G locally finite and the order of every subgroup of G is invertible in R, then the graded weak dimension of R is equal to the ungraded one.