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Zero-sum subsets of decomposable sets in Abelian groups
A subset \(D\) of an abelian group is decomposable if \( \emptyset\ne D\subset D+D\). In the paper we give partial answers to an open problem asking whether every finite decomposable subset \(D\) of an abelian group contains a non-empty subset \(Z\subset D\) with \(\sum Z=0\). For every \(n\in\mathb...
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Format: | Article |
Language: | English |
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Lugansk National Taras Shevchenko University
2020
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Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1494 |
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