A prototype of zero-sum theorems, the well-known theorem of Erdos, Ginzburg and Ziv says that for any positive integer n, any sequence a1, a2, . . . , a2n-1 of 2n-1 integers has a subsequence of n elements whose sum is 0 modulo n.Appropriate generalizations of the question, especially that for (Z/pZ)d, generated a lot of research and still have challenging open questions. Here we propose a new generalization of the Erdos