Extend Nearly Pseudo Semi-2-Absorbing Submodules(I)
DOI:
https://doi.org/10.29304/jqcm.2022.14.4.1125Keywords:
2-Absorbing submodules., Semi-2-Absorbing submodules., Jacobson of modules., Socal of submodules., Multiplication modules and Boolian, RingsAbstract
In this article, we will present a generalization on the (2-Absorbing, Semi-2-Absorbing, Pseudo-2-Absorbing, Pseudo Semi-2-Absorbing and Nearly-2-Absorbing) submodules. We will study the relationship between this generalization and the basic generalizations studied previously. We have provided many Propositions, Remarks, Examples and characterizations in this article.
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References
[1] Darani, A.Y and Soheilniai. F. 2-Absorbing and Weakly 2-Absorbing Submodules, Tahi Journal. Math, (9) (2011), 577-584.
[2] Lu, C. P., “M-radical of Submodules in Modules” , Math. Japan, vol.(34) 1989, pp. 211-219.
[3] Innam, M. A and Abdulrahman, A. H. Semi- 2-Absorbing Submodules and Semi-2-absorbing Modules, international Journal of Advanced Scientific and Technical Research, RS Publication, 5 (3) 2015, 521-530.
[4] Wissam A. Hussain and Haibt K. Mohammdali “WN-2-Absorbing Submodules and WVS-2-Absorbing Submodules”, Ibn Al-Haitham Journal, for Pure and Appl.Sci, 31(3) 2018, 118-125.
[5] Haibt K. Mohammdali and Khalaf H. Alhabeeb “Weakly Semi-2-Absorbing Submodules”, Journal of University of Anbar, for Pure.Sci, 21(2) 2018, 57-62.
[6] Omar, A. Abdalla, Mohmed E. Dahash and Haibat, K. Mohammedali. Nearly Quasi Primary-2-Absorbing submodules, Journal of AL-Qadisiya for Computer Science and Mathematics. Under publication. 2022.
[7] Wissam A. Hussain and Haibt K. Mohammdali “WES-2-Absorbing Submodules and WEQ-2-Absorbing Submodules”, Tikrit Journal of Pure Sci, 24(2) 2019, 104-108.
[8] Haibat, K. M and Akram, S. M, “NEARLY SEMI-2-ABSORBING SUBMODULES AND RELATED CONCEOTS”, Italian Journal of pure and applied mathematics, 54(40) 2019, pp. (620-627).
[9] Haibat K. Mohammadali and Omar A. Abdalla “Pseudo-2-Absorbing and Pseudo Semi-2- Absorbing Submodules”, AIP Conference Proceedings 020006(1-9) 2019, 1-9.
[10] E. W. Anderson and K. R. Fuller, “Rings and Categories of Modules”, edited by J.H.Ewing,F.W.Gehring
and P.R.Halmos (Springer-verlag, New York,Inc, p.376. 1992.
[11] Goodearl, K. R., “Ring Theory”, Marcel Dekker, Inc. New York and Basel.,p.206. 1976.
[12] Reem T. Abdulquder and Shwkea M. Rajab “Nearly 2-Absorbing Submodules and Related Concepts”, Tikrit Journal, for Pure.Sci, 2(3) 2018, 215- 221.
[13] Kasch, F. “Modules and Rings”, London Math. Soc. Monographs, New York, Academic press, 1982.
[14 Dung, N.V., Huynh, D.V., Smith. P.I. and Wishbauer, R., “Extending Modules”,Pitman Research Notes in Math. Series. Longman, Harlow. 1994.
[15] A Wardayani, I Kharismawati, I Sihwaningrum. Regular rings and their properties . Journal of Physics. Conference Series, (1-5). 2020.
[16] Mahmood S. Y.,” Regular Modules ”, M. Sc. Thesis, university of Baghdad. 1993.
[17] Payman, M. H.,“ Hollow Modules and Semi Hollow Modules “. M. Sc. Thesis, University of Baghbad. 2005.
[18] Omar A. Abdalla and Haibat K. Mohammadali “Pseudo-2-Absorbing Submodules and some of Their Generalizations”, M. Sc. Thesis, university of Tikrit. 2019.
[2] Lu, C. P., “M-radical of Submodules in Modules” , Math. Japan, vol.(34) 1989, pp. 211-219.
[3] Innam, M. A and Abdulrahman, A. H. Semi- 2-Absorbing Submodules and Semi-2-absorbing Modules, international Journal of Advanced Scientific and Technical Research, RS Publication, 5 (3) 2015, 521-530.
[4] Wissam A. Hussain and Haibt K. Mohammdali “WN-2-Absorbing Submodules and WVS-2-Absorbing Submodules”, Ibn Al-Haitham Journal, for Pure and Appl.Sci, 31(3) 2018, 118-125.
[5] Haibt K. Mohammdali and Khalaf H. Alhabeeb “Weakly Semi-2-Absorbing Submodules”, Journal of University of Anbar, for Pure.Sci, 21(2) 2018, 57-62.
[6] Omar, A. Abdalla, Mohmed E. Dahash and Haibat, K. Mohammedali. Nearly Quasi Primary-2-Absorbing submodules, Journal of AL-Qadisiya for Computer Science and Mathematics. Under publication. 2022.
[7] Wissam A. Hussain and Haibt K. Mohammdali “WES-2-Absorbing Submodules and WEQ-2-Absorbing Submodules”, Tikrit Journal of Pure Sci, 24(2) 2019, 104-108.
[8] Haibat, K. M and Akram, S. M, “NEARLY SEMI-2-ABSORBING SUBMODULES AND RELATED CONCEOTS”, Italian Journal of pure and applied mathematics, 54(40) 2019, pp. (620-627).
[9] Haibat K. Mohammadali and Omar A. Abdalla “Pseudo-2-Absorbing and Pseudo Semi-2- Absorbing Submodules”, AIP Conference Proceedings 020006(1-9) 2019, 1-9.
[10] E. W. Anderson and K. R. Fuller, “Rings and Categories of Modules”, edited by J.H.Ewing,F.W.Gehring
and P.R.Halmos (Springer-verlag, New York,Inc, p.376. 1992.
[11] Goodearl, K. R., “Ring Theory”, Marcel Dekker, Inc. New York and Basel.,p.206. 1976.
[12] Reem T. Abdulquder and Shwkea M. Rajab “Nearly 2-Absorbing Submodules and Related Concepts”, Tikrit Journal, for Pure.Sci, 2(3) 2018, 215- 221.
[13] Kasch, F. “Modules and Rings”, London Math. Soc. Monographs, New York, Academic press, 1982.
[14 Dung, N.V., Huynh, D.V., Smith. P.I. and Wishbauer, R., “Extending Modules”,Pitman Research Notes in Math. Series. Longman, Harlow. 1994.
[15] A Wardayani, I Kharismawati, I Sihwaningrum. Regular rings and their properties . Journal of Physics. Conference Series, (1-5). 2020.
[16] Mahmood S. Y.,” Regular Modules ”, M. Sc. Thesis, university of Baghdad. 1993.
[17] Payman, M. H.,“ Hollow Modules and Semi Hollow Modules “. M. Sc. Thesis, University of Baghbad. 2005.
[18] Omar A. Abdalla and Haibat K. Mohammadali “Pseudo-2-Absorbing Submodules and some of Their Generalizations”, M. Sc. Thesis, university of Tikrit. 2019.
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Published
2023-01-01
How to Cite
Abdullah, O. A., & Mohammadali, H. K. (2023). Extend Nearly Pseudo Semi-2-Absorbing Submodules(I). Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(4), Math Page 162–173. https://doi.org/10.29304/jqcm.2022.14.4.1125
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