splitting of extensions in the category of locally compact abelian groups

نویسندگان

hossein sahleh

akbar alijani

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 $pounds$‎.

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عنوان ژورنال:
international journal of group theory

ناشر: university of isfahan

ISSN 2251-7650

دوره 3

شماره 3 2014

میزبانی شده توسط پلتفرم ابری doprax.com

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