Results 271 to 280 of about 80,890 (284)

Minimal zero-sum sequences over 〚 − m,n〛

Journal of Number Theory, 2019
Let \(G\) be an abelian group and let \(X\subset G\) be a nonempty finite subset. A sequence over \(X\) is a finite unordered sequence with terms from \(X\) and repetition is allowed. We say \(S\) is zero-sum if all terms of \(S\) sums zero. If \(S\) is a zero-sum sequence but any nonempty proper subsequence of \(S\) is not a zero-sum sequence, \(S ...
Zeng, Xiangneng, Deng, Guixin
openaire   +2 more sources

On the structure of long unsplittable minimal zero-sum sequences

Acta Arithmetica, 2016
Summary: Let \(G\) be an abelian group of odd order \(n\geq 9\). We determine the structure of unsplittable minimal zero-sum sequences over \(G\) of length greater than or equal to \(\lfloor n/3\rfloor+3\).
Zeng, Xiangneng, Yuan, Pingzhi, Li, Yuanlin   +2 more
openaire   +2 more sources

Linear Recurring Sequences over Zero-Sum Semirings

2016
Linear recurrences sequences are widely studied over fields rings and modules. In this paper, we introduce the notion of linear recurrence sequence over semirings. After investigating some basics properties, we give a characterization of linear recurrence sequence over zero-sum semirings.
Lamine Ngom, Omar Diankha, Djiby Sow
openaire   +1 more source

On zero-sum free sequences contained in random subsets of finite cyclic groups

Discrete Applied Mathematics, 2023
Sang June Lee, Jun Seok Oh
exaly  

ON SUBSEQUENCE SUMS OF ZERO-SUM FREE SEQUENCES OVER

JP Journal of Algebra, Number Theory and Applications, 2022
Jiangtao Peng, Yunbiao Peng
openaire   +1 more source

Extremal Sequences for Some Weighted Zero-Sum Constants for Cyclic Groups

Springer Proceedings in Mathematics and Statistics, 2021
exaly  

Sequences in abelian groups G of odd order without zero-sum subsequences of length exp(G)

Designs, Codes, and Cryptography, 2007
Yves Edel, Edel Yves
exaly  

Short zero-sum sequences over abelian p-groups of large exponent

Journal of Number Theory, 2017
Sammy Luo
exaly  

On the structure ofp-zero-sum free sequences and its application to a variant of Erdös-Ginzburg-Ziv theorem

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2005
R Thangadurai
exaly  

The EGZ-constant and short zero-sum sequences over finite abelian groups

Journal of Number Theory, 2016
Weidong Gao, Hanbin Zhang
exaly