Frontiers of Mathematics in China >
Inverse problems associated with subsequence sums in
Received date: 08 Aug 2020
Accepted date: 22 Oct 2020
Published date: 15 Oct 2020
Copyright
Let G be a finite abelian group and S be a sequence with elements of G: We say that S is a regular sequence over G if holds for every proper subgroup H of G; where SH denotes the subsequence of S consisting of all terms of S contained in H: We say that S is a zero-sum free sequence over G if 0; where denotes the set of group elements which can be expressed as a sum of a nonempty subsequence of S: In this paper, we study the inverse problems associated with when S is a regular sequence or a zero-sum free sequence over , where p is a prime.
Jiangtao PENG , Yongke QU , Yuanlin LI . Inverse problems associated with subsequence sums in [J]. Frontiers of Mathematics in China, 2020 , 15(5) : 985 -1000 . DOI: 10.1007/s11464-020-0869-2
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