on component extensions locally compact abelian groups
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abstract
let $pounds$ be the category of locally compact abelian groups and $a,cin pounds$. 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 $pounds$.
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Journal title:
journal of algebra and related topicsجلد ۴، شماره ۱، صفحات ۱-۱۱
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