H. Sahleh

collaborators

2 papers

math.GR2014

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

Hossain Sahleh, Ali Akbar Alijani

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,…

math.GR2014

S-pure Extensions of Locally Compact Abelian Groups

Hossain Sahleh, Ali Akbar Alijani

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.