JP Journal of Algebra, Number Theory and Applications
Volume 41, Issue 1, Pages 19 - 33
(January 2019) http://dx.doi.org/10.17654/NT041010019 |
|
ON THE INVERSE PROBLEMS OF SUBSUMS OF ZERO-SUM FREE SUBSETS
Lifei Chen, Xiulan Li, Yuming Wen, Hong Yang, Jiawei Liu and Jiangtao Peng
|
Abstract: 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 |
Keywords and phrases: abelian group, subset sums, zero-sum free.
|
|
Number of Downloads: 471 | Number of Views: 4445 |
|