ON THE INVERSE PROBLEMS OF SUBSUMS OF ZERO-SUM FREE SUBSETS
Let Gbe an additive abelian group and be a subset. Let denote the set of group elements which can be expressed as a sum of a nonempty subset of S. Suppose Sis zero-sum free, i.e., It was proved by Eggleton and Erdös in 1972 that if and if Together with some other results, we determine the structures of Swhere and Also we determine the structures of Swhere and
abelian group, subset sums, zero-sum free.