On the subgroups of completely decomposable torsion-free groups that are ideals in every ring
A. M. Aghdam; F. Karimi; A. Najafizadeh
Archivum Mathematicum (2012)
- Volume: 048, Issue: 2, page 107-112
- ISSN: 0044-8753
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topAghdam, A. M., Karimi, F., and Najafizadeh, A.. "On the subgroups of completely decomposable torsion-free groups that are ideals in every ring." Archivum Mathematicum 048.2 (2012): 107-112. <http://eudml.org/doc/246128>.
@article{Aghdam2012,
abstract = {In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such groups.},
author = {Aghdam, A. M., Karimi, F., Najafizadeh, A.},
journal = {Archivum Mathematicum},
keywords = {completely decomposable group; type; ring; completely decomposable groups; additive groups of rings; nil groups; subgroups; ring multiplications; typesets; ideals; torsion-free Abelian groups},
language = {eng},
number = {2},
pages = {107-112},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the subgroups of completely decomposable torsion-free groups that are ideals in every ring},
url = {http://eudml.org/doc/246128},
volume = {048},
year = {2012},
}
TY - JOUR
AU - Aghdam, A. M.
AU - Karimi, F.
AU - Najafizadeh, A.
TI - On the subgroups of completely decomposable torsion-free groups that are ideals in every ring
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 2
SP - 107
EP - 112
AB - In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such groups.
LA - eng
KW - completely decomposable group; type; ring; completely decomposable groups; additive groups of rings; nil groups; subgroups; ring multiplications; typesets; ideals; torsion-free Abelian groups
UR - http://eudml.org/doc/246128
ER -
References
top- Aghdam, A. M., Najafizadeh, A., 10.4064/cm117-1-2, Colloq. Math. 117 (1) (2009), 19–28. (2009) Zbl1186.20037MR2539546DOI10.4064/cm117-1-2
- Fried, E., On the subgroups of an abelian group that are ideals in every ring, Proc. Colloq. Abelian groups, Budapest, 1964, pp. 51–55. (1964) Zbl0135.05901MR0168670
- Fuchs, L., Infinite abelian groups, Academic Press, New York–London, 1973. (1973) Zbl0257.20035MR0349869
- Najafizadeh, A., Aghdam, A. M., Karimi, F., On the ideals of torsion–free rings of rank one and two, Math. Notes (to appear).
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