arXiv subjects

Hossain Sahleh

Publications and source records attributed to Hossain Sahleh.

2 recordsLinked to original sources

arXiv2015

Extensions of locally compact abelian, torsion-free groups by compact torsion abelian groups

Let $X$ be a compact torsion abelian group. In this paper, we show that an extension of $F_{p}$ by $X$ splits where $F_{p}$ is the p-adic number group and $p$ a prime number. Also, we show that an extension of a torsion-free, non-divisible LCA group by $X$ is not split.

math.GR↗

arXiv2014

S-pure Extensions of Locally Compact Abelian Groups

In this paper, we introduce the concept and study some properties of an s-pure subgroup and a s-pure extension in the category of locally compact abelian groups.

math.GR↗