ON CYCLIC DECOMPOSITION OF Z-MODULE M_{m×r}(Z_n)

Ni Wayan Switrayni (University of Mataram)
I Gede Adhitya Wisnu Wardhana (University of Mataram)
Qurratul Aini (University of Mataram)

Journal of Fundamental Mathematics and Applications (JFMA)
Vol 5, No 1 (2022)

A torsion module over a principal ideal domain has special properties related to the way how it is decomposed either into primary or cyclic submodules. This paper carries out a special case of such module over the ring of integer, which consists of all matrices with entries from the set of integer modulo n. The result shows that its decomposition depends on the prime factors of n.