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 $\pounds$.
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Sahleh, H., & Alijani, A. (2014). Splitting of extensions in the category of locally compact abelian groups. International Journal of Group Theory, 3(3), 39-45. doi: 10.22108/ijgt.2014.4435
MLA
Hossein Sahleh; Akbar Alijani. "Splitting of extensions in the category of locally compact abelian groups". International Journal of Group Theory, 3, 3, 2014, 39-45. doi: 10.22108/ijgt.2014.4435
HARVARD
Sahleh, H., Alijani, A. (2014). 'Splitting of extensions in the category of locally compact abelian groups', International Journal of Group Theory, 3(3), pp. 39-45. doi: 10.22108/ijgt.2014.4435
VANCOUVER
Sahleh, H., Alijani, A. Splitting of extensions in the category of locally compact abelian groups. International Journal of Group Theory, 2014; 3(3): 39-45. doi: 10.22108/ijgt.2014.4435
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