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SPLITTING OF EXTENSIONS IN THE CATEGORY OF LOCALLY COMPACT ABELIAN GROUPS
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نویسنده
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سهله حسین ,علیجانی علی اکبر
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منبع
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international journal of group theory - 2014 - دوره : 3 - شماره : 3 - صفحه:39 -45
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چکیده
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Let $ be the category of all locally compact abelian (lca) groups. in this paper, thegroups g in $ are determined such that every extension 0 ! x ! y ! g ! 0 with divisible,??compact x in $ splits. we also determine the discrete or compactly generated lca groups h suchthat every pure extension 0 ! h ! y ! x ! 0 splits for each divisible group x in $.
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کلیدواژه
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Locally compact abelian group ,Splitting of Extension ,Divisible group
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آدرس
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university of guilan, Department of Mathematics, University of Guilan, P O Box 1914, Rasht, Iran, ایران, university of guilan, Department of Mathematics, University of Guilan, Rasht, Iran, ایران
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پست الکترونیکی
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taleshalijan@phd.guilan.ac.ir
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Authors
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