On the Jacobson radical of strongly group graded rings
Kelarev, Andrei V.
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 575-580 / Harvested from Czech Digital Mathematics Library
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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 Puczy{\l}owski.

Publié le : 1994-01-01
Classification:  16A03,  16A20,  16N20,  16N40,  16W50 
@article{118698,
     author = {Andrei V. Kelarev},
     title = {On the Jacobson radical of strongly group graded rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {575-580},
     zbl = {0815.16025},
     mrnumber = {1307285},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118698}
}

Kelarev, Andrei V. On the Jacobson radical of strongly group graded rings. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 575-580. http://gdmltest.u-ga.fr/item/118698/

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