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

Authors

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

DOI:

https://doi.org/10.29303/emj.v1i1.6

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

Dauns, John, 1994, Modules and Rings. Cambridge University Press, New York.

Hadi, I.M,A., 2009. On Weakly Prime Submodules. Ibn Al-Haitham Journal For Pure and Applied Science, 22 (3).

Khashan, Hani A, 2012. On Almost Prime Submod-ules. ScienceDirect, 32B (2), 645-651.

Roman, Steven, 2007. Advance Linier Algebra, in : Graduated Text In Mathematics vol. 135. Springer, New York.

Wardhana, I. G. A. W., Astuti, P., Muchtadi-Alamsyah, I. 2016. On Almost Prime Submodules of a Finitely Generated Free Module Over a Principal Ideal Domain, AJP Journal of Algebra, Number Theory and Aplication, 38(2), 121-128

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Published

2018-06-29

How to Cite

Wardhana, I. G. A. W., Switrayni, N. W., & Aini, Q. (2018). Submodul Prima Lemah dan Submodul Hampir Prima Pada Z‐modul M_2x2 (Z_9). EIGEN MATHEMATICS JOURNAL, 1(1), 28–30. https://doi.org/10.29303/emj.v1i1.6

Issue

Vol. 1 No. 1: Juni 2018

Section

Articles

License

All articles published in the Eigen Mathematics Journal will be available for free reading and downloading. The license applied to this journal is Creative Commons Attribution-Non-Commercial-Share Alike (CC BY-NC-SA).

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