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Submitted
May 31, 2018
Published
June 29, 2018
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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.

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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
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References

  1. Dauns, John, 1994, Modules and Rings. Cambridge University Press, New York.
  2. Hadi, I.M,A., 2009. On Weakly Prime Submodules. Ibn Al-Haitham Journal For Pure and Applied Science, 22 (3).
  3. Khashan, Hani A, 2012. On Almost Prime Submod-ules. ScienceDirect, 32B (2), 645-651.
  4. Roman, Steven, 2007. Advance Linier Algebra, in : Graduated Text In Mathematics vol. 135. Springer, New York.
  5. 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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