Complete decompositions of Abelian groups

• Main Authors: Chin, Angelina Yan Mui, Wang, K. L., Wong, Kok Bin
• Format: Article
• Published: Taylor & Francis Inc 2021
• Subjects: QA Mathematics
• Online Access: http://eprints.um.edu.my/26989/

Let G be an abelian group and A(1),..., A(k) (k >= 2) be nonempty subsets of G. The sets A1,..., A(k) are said to form a complete decomposition of G of order k if G = A(1) + ... + A(k) and A(1),..., A(k) are pairwise disjoint. In this paper, we prove the existence of complete decompositions of ab...