Strongly Pseudo Nearly Quasi-2-Absorbing Submodules(II)
DOI:
https://doi.org/10.29304/jqcm.2022.14.4.1118Keywords:
STPNQ-2-Absorbing submodules, STPNQ-2-Absorbing ideal., faithful module., projective module., Z-regular module.Abstract
In this research, we presented the concept of Strongly Pseudo Nearly Quasi 2-Absorbing submodules . Which is a generalization of the concepts of 2-Absorbing and Quasi 2-Absorbing submodules and the ideal is not Strongly Pseudo Nearly Quasi 2-Absorbing submodulesand we gave an example of that . We also noted that is STPNS-2-Absorbing ideals under several conditions. Also in this part we introduce the characterization of the concept of STPNS-2-Absorbing ideals by special kind of submodules.
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References
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[9] Omer A. and Haibat K. Pseudo quasi 2-Absorbing Submodules, ibn Al-Haitham Journal for Pure and Apple Sci. 32 (2) (2019), 114-122.
[10] 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.
[11] Lu, C. P. Prime Submodule of Modules, Comm. Math, University Spatula, (1981) , vol.(33),pp.(61-69).
[12] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, (1982).
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[14] Goodearl, K. R. Ring Theory, Marcel Dekker, Inc. New York and Basel.(1976).
[15] Lu, C. P. M-radical of Submodule in modules, Math. Japanica, (1989), Vol. (34), No. (2), P. (211-219)..
[16] Zelmanowitz , J .Regular Modules,Trans . American Math. Soc. (1973) , Vol (163) , PP. ( 341 – 355 ).
[17] Ali, S. M. On Cancellation Modules, M. Sc. Thesis, University of Baghdad, (1993).
[18] Mohamad, E. D. Haibat, K. M. Strongly Pseudo Nearly Quasi-2-Absorbing Submodules(I), journal of Al-Qadisiyah for Computer Science and Mathematics (2022), to appear online.
[19] El – Bast , Z. A. and Smith , P. F. Multiplication Modules, Comm. In Algebra , (1988), Vol. (16) No.(4), PP.(755-779).
[20] Nuha H. H. The Radical of Modules, M. Sc. Thesis , University of Baghdad, (1996).
[21] Smith , P. F. Some Remarks on Multiplication Modules , Arch. Math. (1988), Vol. (50) , PP. ( 223 – 235 ) .
[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] Omer A. and Haibat K. Pseudo quasi 2-Absorbing Submodules, ibn Al-Haitham Journal for Pure and Apple Sci. 32 (2) (2019), 114-122.
[10] 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.
[11] Lu, C. P. Prime Submodule of Modules, Comm. Math, University Spatula, (1981) , vol.(33),pp.(61-69).
[12] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, (1982).
[13] Barnard A. Multiplication Modules, Journal of Algebra, (7) (1981), 174 – 178.
[14] Goodearl, K. R. Ring Theory, Marcel Dekker, Inc. New York and Basel.(1976).
[15] Lu, C. P. M-radical of Submodule in modules, Math. Japanica, (1989), Vol. (34), No. (2), P. (211-219)..
[16] Zelmanowitz , J .Regular Modules,Trans . American Math. Soc. (1973) , Vol (163) , PP. ( 341 – 355 ).
[17] Ali, S. M. On Cancellation Modules, M. Sc. Thesis, University of Baghdad, (1993).
[18] Mohamad, E. D. Haibat, K. M. Strongly Pseudo Nearly Quasi-2-Absorbing Submodules(I), journal of Al-Qadisiyah for Computer Science and Mathematics (2022), to appear online.
[19] El – Bast , Z. A. and Smith , P. F. Multiplication Modules, Comm. In Algebra , (1988), Vol. (16) No.(4), PP.(755-779).
[20] Nuha H. H. The Radical of Modules, M. Sc. Thesis , University of Baghdad, (1996).
[21] Smith , P. F. Some Remarks on Multiplication Modules , Arch. Math. (1988), Vol. (50) , PP. ( 223 – 235 ) .
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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(II). Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(4), Math Page 74–81. https://doi.org/10.29304/jqcm.2022.14.4.1118
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