| Title:
|
$G$-nilpotent units of commutative group rings (English) |
| Author:
|
Danchev, Peter |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
179-187 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Suppose $R$ is a commutative unital ring and $G$ is an abelian group. We give a general criterion only in terms of $R$ and $G$ when all normalized units in the commutative group ring $RG$ are $G$-nilpotent. This extends recent results published in [Extracta Math., 2008--2009] and [Ann. Sci. Math. Québec, 2009]. (English) |
| Keyword:
|
group rings |
| Keyword:
|
normalized units |
| Keyword:
|
nilpotents |
| Keyword:
|
idempotents |
| Keyword:
|
decompositions |
| Keyword:
|
abelian groups |
| MSC:
|
16S34 |
| MSC:
|
16U60 |
| MSC:
|
20K10 |
| MSC:
|
20K20 |
| MSC:
|
20K21 |
| idZBL:
|
Zbl 1255.16042 |
| idMR:
|
MR3017253 |
| . |
| Date available:
|
2012-08-08T08:56:15Z |
| Last updated:
|
2014-07-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142883 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| . |
