%0 Journal Article
%T On component extensions locally compact abelian groups
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Sahleh, H.
%A Alijani, A. A.
%D 2016
%\ 06/01/2016
%V 4
%N 1
%P 1-11
%! On component extensions locally compact abelian groups
%K Component extension
%K component injective
%K component projective
%R
%X Let $\pounds$ be the category of locally compact abelian groups and $A,C\in \pounds$. In this paper, we define component extensions of $A$ by $C$ and show that the set of all component extensions of $A$ by $C$ forms a subgroup of $Ext(C,A)$ whenever $A$ is a connected group. We establish conditions under which the component extensions split and determine LCA groups which are component projective. We also gives a necessary condition for an LCA group to be component injective in $\pounds$.
%U https://jart.guilan.ac.ir/article_1780_3baf91f9c2de6e444130249948b71781.pdf