Duo Submodule and C_1-module
DOI:
https://doi.org/10.29304/jqcm.2021.13.1.763Keywords:
Duo module, Fully invariant, Multiplication module, Essential extension, Extending moduleAbstract
In this paper, we will give high priority to some important results about the duality property of submodule. The main reason for choosing this property is that duo is one of the important applications of extending modules. Note that any module will be chosen we will deal with it as a submodule on itself.
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References
[1] Faith, C., 1973. Algebra, rings, springer, Verlag, Berlin, Heldclberg, Newyork.
[2] A.C.O ̈zcan, A.Harmanci, Duo Modules, Glasgow Math.J.48 (2006) 533-545.
[3] Yeliz Kara, Modules Whose h-Closed Submodules Are Direct Summands, Southeast Asian Bulletin of Mathematics (2020) 44: 79–86.
[4] Jaime Castro Perez, jose rios Montes, and Gustavo Tapia Sanchez, A Generalization of Multiplication Modules, Bull. Korean Math. Soc. 0(0), No. 0, PP. 1-0.
[5] Sharp, D. W, and Vamous, P., Injective modules, Cambridge. Uni. Press (1972).
[6] F. Kasch, “Modules and Rings”, Academic Press. Ludwig-Maximilian University, Munich, Germany. New York. (1982).
[7] Mehdi S. Abbas, Saad Abdulkadhim Al-Saadi, and Emad Allawi Shallal, (Quasi-)Injective Extending Gamma Modules, Journal of Al-Qadisiyah for computer science and mathematics Vol.9 No.2 Year 2017.
[2] A.C.O ̈zcan, A.Harmanci, Duo Modules, Glasgow Math.J.48 (2006) 533-545.
[3] Yeliz Kara, Modules Whose h-Closed Submodules Are Direct Summands, Southeast Asian Bulletin of Mathematics (2020) 44: 79–86.
[4] Jaime Castro Perez, jose rios Montes, and Gustavo Tapia Sanchez, A Generalization of Multiplication Modules, Bull. Korean Math. Soc. 0(0), No. 0, PP. 1-0.
[5] Sharp, D. W, and Vamous, P., Injective modules, Cambridge. Uni. Press (1972).
[6] F. Kasch, “Modules and Rings”, Academic Press. Ludwig-Maximilian University, Munich, Germany. New York. (1982).
[7] Mehdi S. Abbas, Saad Abdulkadhim Al-Saadi, and Emad Allawi Shallal, (Quasi-)Injective Extending Gamma Modules, Journal of Al-Qadisiyah for computer science and mathematics Vol.9 No.2 Year 2017.
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Published
2021-03-04
How to Cite
Talak, A. F., & Abed, M. M. (2021). Duo Submodule and C_1-module. Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(1), Math Page 155– 160. https://doi.org/10.29304/jqcm.2021.13.1.763
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Math Articles
