%0 Journal Article
%T Splitting of extensions in the category of locally compact abelian groups
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Sahleh, Hossein
%A Alijani, Akbar
%D 2014
%\ 09/01/2014
%V 3
%N 3
%P 39-45
%! Splitting of extensions in the category of locally compact abelian groups
%K Locally compact abelian group
%K Splitting of Extension
%K Divisible group
%R 10.22108/ijgt.2014.4435
%X Let $\pounds$ be the category of all locally compact abelian (LCA) groups. In this paper, the groups $G$ in $\pounds$ are determined such that every extension $0\to X\to Y\to G\to 0$ with divisible, $\sigma-$compact $X$ in $\pounds$ splits. We also determine the discrete or compactly generated LCA groups $H$ such that every pure extension $0\to H\to Y\to X\to 0$ splits for each divisible group $X$ in $\pounds$.
%U https://ijgt.ui.ac.ir/article_4435_22e1c3d0e09071cafadb580f175adec2.pdf