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Articles
Published: 2018-06-29

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

Program Studi Matematika Universitas Mataram

Abstract

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.

References

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