splitting of extensions in the category of locally compact abelian groups
نویسندگان
چکیده
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 $0to xto yto gto 0$ with divisible, $sigma-$compact $x$ in $pounds$ splits. we also determine the discrete or compactly generated lca groups $h$ such that every pure extension $0to hto yto xto 0$ splits for each divisible group $x$ in $pounds$.
منابع مشابه
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عنوان ژورنال:
international journal of group theoryناشر: university of isfahan
ISSN 2251-7650
دوره 3
شماره 3 2014
میزبانی شده توسط پلتفرم ابری doprax.com
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