Some Properties of Faithful Locally Multiplication Modules

Authors

  • Adil Kadir Jabbar Department of Mathematics, College of Science, University of Sulaimani, Kurdistan Region, Iraq. Author
  • Payman Mahmood Hamaali Department of Mathematics, College of Science, University of Sulaimani, Kurdistan Region, Iraq. Author
  • Adham Idris Abid Department of Mathematics, College of Science Education, University of Sulaimani, Kurdistan Region, Iraq. Author

DOI:

https://doi.org/10.17656/jzs.10867

Keywords:

Multiplication module, Faithful module, Locally multiplication module, Prime submodule

Abstract

An

References

Atani, S. E. and Darani, A. Y.: Notes on the Primal Submodules, Chiang Mai J. Sci. 2008; 35(3), 399-410. [2] Atani, S. E. and Farzalipour , F. : On Weakly Prime Submodules, Tamkang Journal of Mathematics, Vol. 38, No. 3, 2007, 247-252. [3] Atiyah, M. F. and Macdonald, I. G.: Introduction to commutative algebra, Addison-wesley publishing company, 1969. [4] Burton , D. M.: A First Course in Rings and Ideals, Addison-Wesely Publishing Company, 1970. [5] Darani, A. Y. : Almost Primal Ideals in Commutative Rings, Chiang Mai J. Sci. 2011; 38(2) : 161-165. [6] Jabbar, A. K. and Hasan, N. H.: On Locally Multiplication Modules, International mathematical Forum, Vol. 11, 2016, no. 5, 213-226. [7] Jabbar, A. K. and Hasan, N. H.: Some Results Concerning Localization of Commutative Rings and Modules, International Journal of Algebra, Vol. 9, 2015, no. 8, 403-412. [8] Jabbar, A. K. and Hussein, P. K.: On Weakly Pure Submodules of Locally Multiplication Modules, JZS-A, Volume 22, Issue 2, 2020, 353-360. [9] Jabbar, A. K.: A generalization of prime and weakly prime submodules, Pure Mathematical Sciences, Vol. 2, 2013, no. 1, 1-11. [10] Jabbar, A. K.: On Locally Artinian Modules, International Journal of Algebra, Vol. 6, 2012 No. 27, 1325- 1334. [11] Keskin, D. , Ozcan, A. C. and Tiras, Y. : On Prime submodules, Far East J. Math. Sci. 4(2) (1996), 163- 168. [12] Larsen, M. D. and McCarthy, P. J.: Multiplicative theory of ideals, Academic Press, New York and London, 1971. [13] Lee, D. D. and Lee, H. B.: Some Remarks on Faithful Multiplication Modules, Journal of the Chungcheong Mathematical Society, Vol. 6, 1993, 131-137. [14] Smith, P. F.: Some remarks on multiplication modules, Arch. Math. 50 (1988), 223-235. [15] Wisbauer, R. : Foundations of Module and Ring Theory, Gordon and Breach Science Publishers, 1991

Published

2022-06-20

How to Cite

Some Properties of Faithful Locally Multiplication Modules. (2022). Journal of Zankoy Sulaimani - Part A, 24(1), 27-37. https://doi.org/10.17656/jzs.10867

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