| Title:
|
On the Jacobson radical of strongly group graded rings (English) |
| Author:
|
Kelarev, A. V. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
575-580 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
strongly graded rings |
| Keyword:
|
radicals |
| Keyword:
|
local nilpotency |
| MSC:
|
16A03 |
| MSC:
|
16A20 |
| MSC:
|
16N20 |
| MSC:
|
16N40 |
| MSC:
|
16W50 |
| idZBL:
|
Zbl 0815.16025 |
| idMR:
|
MR1307285 |
| . |
| Date available:
|
2009-01-08T18:13:30Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118698 |
| . |
| Reference:
|
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| . |
