University of Guilan Journal of Algebra and Related Topics 2345-3931 4 1 2016 06 01 On component extensions locally compact abelian groups 1 11 1780 EN H. Sahleh Department of Mathematics, University of Guilan A. A. Alijani Department of Mathematics, University of Guilan Journal Article 2016 04 09 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 $\pounds$. https://jart.guilan.ac.ir/article_1780_3baf91f9c2de6e444130249948b71781.pdf