About a decomposition of the group Zpq, where p and q are distinct odd primes

作者：Cristea Irina^*; Darafsheh Mohammad Reza

来源：European Journal of Combinatorics, 2010, 31(7): 1880-1886.

DOI：10.1016/j.ejc.2010.02.005

In this paper we are interested in finding a partition of Z(n) such that the component sets satisfy two properties: the first one says that the double of each element of every set is congruent modulo n with the consecutive element of the same set; the second property states that there exist two distinct elements in each set such that their sum modulo n belongs to the successive set. What is this decomposition useful for? It permits one to find the structure of a complete hypergroup H in some particular cases.

• 出版日期2010-10