| Title:
|
$s$-weakly regular group rings (English) |
| Author:
|
Vasantha Kandasamy, W. B. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
39-41 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note we obtain a necessary and sufficient condition for a ring to be $s$-weakly regular (i) When $R$ is a ring with identity and without divisors of zero (ii) When $R$ is a ring without divisors of zero. Further it is proved in a $s$-weakly regular ring with identity and without units every element is a zero divisor. (English) |
| Keyword:
|
group ring |
| Keyword:
|
s-weakly regular ring |
| MSC:
|
16D25 |
| MSC:
|
16D40 |
| MSC:
|
16E50 |
| MSC:
|
16S34 |
| MSC:
|
20C05 |
| idZBL:
|
Zbl 0812.16003 |
| idMR:
|
MR1242627 |
| . |
| Date available:
|
2008-06-06T21:23:44Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107465 |
| . |
| Reference:
|
[1] Gupta, V.: A generalization of strongly regular rings.Acta. Math. Hungar 43 (1984), No 1-2, 57-61. Zbl 0535.16015, MR 0731964 |
| . |
