Weighted zero-sum problems over \(C_3^r\)

• Дата: 2018
• Автори: Godinho, Hemar, Lemos, Abílio, Marques, Diego
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Weighted zero-sum; abelian groups; 20D60; 20K01
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/743
• Назва журналу: Algebra and Discrete Mathematics

Let \(C_n\) be the cyclic group of order \(n\) and set \(s_{A}(C_n^r)\) as the smallest integer \(\ell\) such that every sequence \(\mathcal{S}\) in \(C_n^r\) of length at least \(\ell\) has an \(A\)-zero-sum subsequence of length equal to \(\exp(C_n^r)\), for \(A=\{-1,1\}\). In this paper, among ot...