ON THE SUBGROUPS OF TORSION-FREE GROUPS WHICH ARE SUBRINGS IN EVERY RING

A.M. Aghdam; F. Karimi; A. Najafizadeh

ON THE SUBGROUPS OF TORSION-FREE GROUPS WHICH ARE SUBRINGS IN EVERY RING

Autori

A.M. Aghdam University of Tabriz - Department Of Mathematics
F. Karimi Payame Noor University - Mathematics Department
A. Najafizadeh Payame Noor University - Mathematics Department

Parole chiave:

ring on a group, nil group, idempotent type, SR-group

Abstract

In this paper we study the subgroups of a torsion-free Abelian group A which are subrings in every ring over A. In particular, we get a necessary and suﬃcient condition for the case of rank one and rank two torsion-free groups. Moreover, we introduce the notion of SR-group and obtain some related results.

Cover of n°31 Italian Journal of Pure and Applied Mathematics

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Pubblicato

2013-12-31

Come citare

Aghdam, A., Karimi, F., & Najafizadeh, A. (2013). ON THE SUBGROUPS OF TORSION-FREE GROUPS WHICH ARE SUBRINGS IN EVERY RING. Italian Journal of Pure and Applied Mathematics, 31, 63–76. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6160