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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Bibliographic Details
Date:2020
Main Authors: Banakh, T., Ravsky, A.
Format: Article
Language:English
Published: 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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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics