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arXiv · 2101.02586

Sum-full sets are not zero-sum-free

Vsevolod F. Lev·Janos Nagy·Peter Pal Pach
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Abstract

Let $A$ be a finite, nonempty subset of an abelian group. We show that if every element of $A$ is a sum of two other elements, then $A$ has a nonempty zero-sum subset. That is, a (finite, nonempty) sum-full subset of an abelian group is not zero-sum-free.

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Vsevolod F. Lev, Janos Nagy, Peter Pal Pach. 2021-01-07. Sum-full sets are not zero-sum-free. https://arxiv.org/abs/2101.02586

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