Strongly Pseudo Nearly Quasi-2-Absorbing Submodules(I)
DOI:
https://doi.org/10.29304/jqcm.2022.14.4.1119Keywords:
2-Absorbing submodules., Nearly Quasi 2-Absorbingsubmodules., Pseudo Quasi 2-Absorbing submodules., STPNQ-2-Absorbingsubmodules., Multiplication modules and injective modules.Abstract
In this research, we presented the notion of Strongly Pseudo Nearly Quasi 2-Absorbing submodules . Which is a generalization of the notions of 2-Absorbing and Quasi 2-Absorbing submodules and stronger than the notions (Nearly 2-Absorbing, pseudo 2-Absorbing , Nearly Quasi 2-Absorbing and pseudo Quasi 2-Absorbing) submodules. Give us the properties, characterizations and examples of this new concept. We studied the relationship between the notion of Strongly Pseudo Nearly Quasi 2-Absorbingsubmodules and notion (Nearly 2-Absorbing, pseudo 2-Absorbing , Nearly Quasi 2-Absorbing and pseudo Quasi 2-Absorbing) submodules with special types of modules.
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References
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[14] Omer A. Mohamad, E. D. Haibat, K. M. Nearly Quasi Primary-2-Absorbing Submodules, journal of Al-Qadisiyah for Computer Science and Mathematics, 14 (13) (2022), 59-64.
[15] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, (1982).
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[18] Barnard A. Multiplication Modules, Journal of Algebra, (7) (1981), 174 – 178.
[2] Darani, A.Y and Soheilniai. F. 2-Absorbing and Weakly 2-Absorbing Submodules, Tahi Journal. Math, (9) (2011), 577-584.
[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] Dubey M. and Aggarwal P. On 2-Absorbing Primary Submodules, asian European J. of Math. 8 (4) (2015), 243-251.
[5] Mohammad Y. and Rashid A. On Almost 2-Absorbing Submodules, italian Journal of Pure and App. Math. (30) (2015), 923-928.
[6] Reem T. and Shwkea M. Nearly 2-Absorbing Submodules and Related Concept, tikrit Journal for Pure Sci. 2 (3) (2018), 215-221.
[7] Haibat, K. Mohammedali and Omar, A. Abdalla. Pseudo-2-Absorbing and Pseudo Semi-2- Absorbing Submodules, AIP Conference Proceedings 2096,020006,(2019), 1-9.
[8] Mostafanasat H. and Tekir U. Quasi-2Absorbing Submodules, european Journal of Pure Math. 8 (3), 417-430.
[9] Haibat K. and Khalaf H. Nearly quasi-2-Absorbing Submodules, tikrit Journal for Pure Sci. 22 (9) (2018), 99-102.
[10] Omer A. and Haibat K. Pseudo quasi 2-Absorbing Submodules, ibn Al-Haitham Journal for Pure and Apple Sci. 32 (2) (2019), 114-122.
[11] Haibat K. and Akram S. Nearly Semi-2-Absorbing Submodules, italian Journal of Pure and App. Math. (41) (2019), 620-627.
[12 Omer A. and Ali Ch. and Haibat K. Nearly Primary-2-Absorbing Submodules, ibn Al-Haitham Journal for Pure and Apple Sci. 34 (1) (2021), 116-124.
[13] Omer A. and Haibat K. Pseudo Primary 2-Absorbing Submodules, Ibn Al-Haitham Journal for Pure and Apple. Sci. 32 (2) (2019), 129-139.
[14] Omer A. Mohamad, E. D. Haibat, K. M. Nearly Quasi Primary-2-Absorbing Submodules, journal of Al-Qadisiyah for Computer Science and Mathematics, 14 (13) (2022), 59-64.
[15] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, (1982).
[16] Goodearl, K. R. Ring Theory, Marcel Dekker, Inc. New York and Basel.(1976).
[17] Mahmood, S. Y. Regular Modules, M. Sc. Thesis, university of Baghdad, (1993).
[18] Barnard A. Multiplication Modules, Journal of Algebra, (7) (1981), 174 – 178.
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Published
2022-12-31
How to Cite
Dahash, M. E., & Mohammadali, H. K. (2022). Strongly Pseudo Nearly Quasi-2-Absorbing Submodules(I). Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(4), Math Page 82–92. https://doi.org/10.29304/jqcm.2022.14.4.1119
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