Abstract

The typeset of a torsion-free group is one of the important concepts in the theory of abelian groups. We use the typeset of an abelian group to study the rings that exist over such groups. Moreover, we consider the types of rational groups belonging to an independent set of a group and obtain some results about their relation with the rings over the group.

Keywords: Typeset; ring on a group; nil group.

MSC: 20K15

Pages:  326$-$333     

Volume  65 ,  Issue  3 ,  2013