Submodul Prima Lemah dan Submodul Hampir Prima Pada Z‐modul M_2x2 (Z_9)

I Gede Adhitya Wisnu Wardhana (Program Studi Matematika Universitas Mataram)
Ni Wayan Switrayni
Qurratul Aini

EIGEN MATHEMATICS JOURNAL
Vol 1 No 1: Vol 1 No 1 Juni 2018

Prime submodule is the abstraction to module theory of prime ideal in ring theory.  A proper submodule N of an R-module M is called prime submodule if for all r in R and m in M such that rm in N implies r in (N:M) or m in N.  Prime submodule also generalized into weakly prime submodule and almost prime submodule.  This study deal with particular cases of both of them in Z-module M_2x2(Z_9), the three submodules are equivalent in case of non-zero submodule.