| Title:
|
On the subgroups of completely decomposable torsion-free groups that are ideals in every ring (English) |
| Author:
|
Aghdam, A. M. |
| Author:
|
Karimi, F. |
| Author:
|
Najafizadeh, A. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
107-112 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such groups. (English) |
| Keyword:
|
completely decomposable group |
| Keyword:
|
type |
| Keyword:
|
ring |
| MSC:
|
20K15 |
| idMR:
|
MR2946210 |
| DOI:
|
10.5817/AM2012-2-107 |
| . |
| Date available:
|
2012-06-08T08:31:33Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142824 |
| . |
| Reference:
|
[1] Aghdam, A. M., Najafizadeh, A.: Square subgroups of rank two abelian groups.Colloq. Math. 117 (1) (2009), 19–28. Zbl 1186.20037, MR 2539546, 10.4064/cm117-1-2 |
| Reference:
|
[2] Fried, E.: On the subgroups of an abelian group that are ideals in every ring.Proc. Colloq. Abelian groups, Budapest, 1964, pp. 51–55. Zbl 0135.05901, MR 0168670 |
| Reference:
|
[3] Fuchs, L.: Infinite abelian groups.Academic Press, New York–London, 1973. Zbl 0257.20035, MR 0349869 |
| Reference:
|
[4] Najafizadeh, A., Aghdam, A. M., Karimi, F.: On the ideals of torsion–free rings of rank one and two.Math. Notes (to appear). |
| . |
