Geodesic
On the Jacobson radical of strongly group graded rings
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 3, pp. 575-580 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 16A03, 16A20, 16N20, 16N40, 16W50
Keywords: strongly graded rings; radicals; local nilpotency 
@article{CMUC_1994_35_3_a15,
     author = {Kelarev, A. V.},
     title = {On the {Jacobson} radical of strongly group graded rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {575--580},
     year = {1994},
     volume = {35},
     number = {3},
     mrnumber = {1307285},
     zbl = {0815.16025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_3_a15/}
}
TY  - JOUR
AU  - Kelarev, A. V.
TI  - On the Jacobson radical of strongly group graded rings
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1994
SP  - 575
EP  - 580
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_1994_35_3_a15/
LA  - en
ID  - CMUC_1994_35_3_a15
ER  - 
%0 Journal Article
%A Kelarev, A. V.
%T On the Jacobson radical of strongly group graded rings
%J Commentationes Mathematicae Universitatis Carolinae
%D 1994
%P 575-580
%V 35
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_1994_35_3_a15/
%G en
%F CMUC_1994_35_3_a15
Kelarev, A. V. On the Jacobson radical of strongly group graded rings. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 3, pp. 575-580. http://geodesic.mathdoc.fr/item/CMUC_1994_35_3_a15/