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lattice of compactifications of a topological group
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نویسنده
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he wei ,xiao zhiqiang
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منبع
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categories and general algebraic structures with applications - 2019 - دوره : 10 - شماره : 1 - صفحه:39 -50
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چکیده
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We show that the lattice of compactifications of a topological group g is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the bohr compactification bg of g. the correspondence defines a contravariant functor from the category of topological groups to the category of complete lattices. some properties of the compactification lattice of a topological group are obtained.
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کلیدواژه
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topological group ,compactification of a topological group ,complete lattice
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آدرس
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nanjing normal university, department of mathematics, ایران, nanjing normal university, department of mathematics, ایران
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پست الکترونیکی
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zhiqiang102@126.com
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Authors
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