Almost Approximaitly Nearly Quasiprime Submodules
DOI:
https://doi.org/10.29304/jqcm.2022.14.3.1028Keywords:
Prime submodules., Quasi prime submodules., Nearly quasi prime submodules., Approximaitly quasi prime submodules., Almost approximaitly nearly quasiprime submodules.Abstract
Let be a commutative ring with identity and be an -module. This study deals the concept of almost approximaitly nearly quasiprime submodules as a new generalization of quasiprime submodules, also generalizations of (prime, nearly quasiprime, nearly prime, approximaitly quasiprime and approximaitly prime) submodules. We give same basic properties, and characterizations of this concept. Furthermore, we study the behaviour of almost approximaitly nearly quasiprime submodules under -homomorphisms. Also, we explain the relationships between almost approximaitly nearly quasiprime submodules with the above concepts.
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References
[1] Abdul-Razak H. M. Quasi-Prime Modules and Quasi-Prime submodules, M.Sc. Thesis, University of Baghdad, 1999.
[2] Dauns, J. Prime Modules, Journal Reine Angew, Math., 2 (1978), 156-181.
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[5] Ali Sh. A. and Omar A. A. and Haibat K. M. Approximaitly Quasi primary Submodules, Ibn Al-Haitham Journal for Pure and Applied Sci., 33 (4) (2020), 92-101.
[6] Haibat K. M. and Shahad J. M. Weakly Approximaitly Quasi-Prime Submodules And Related Concepts. Ibn AL-Haitham Journal For Pure and Applied Sciences, 34 (2) (2021), 56-69.
[7] Hero J. H. and Haibat K. M. Weakly Nearly Quasi Prime Submodules, Tikrit Journal of Pure Science. (2022) to appear.
[8] Anderson, F. W. and Fuller, K. F. Rings and Categories of Modules, Springer Verlag New Yourk, 1992.
[9] Nuhad S. and Adwia J. Nearly prime Submodules, International Journal of Advanced Sci. and Technical Research online, (2015), 166-173.
[10] Ali Sh. A. and Haibat K. M. Approximaitly Prime Submodules and Some Related Concepts, Ibn Al-Haitham Journal for Pure and Applied Sci., 32 (2) (2019), 103-113.
[11] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, 1982.
[12] Dung, N.V., Huynh, D.V., Smith, P.I., and Wishbauer, R. Extending Modules, Pitman Research Notes in Math. Series. Longman, Harlow, (1994).
[13] Larsen, M. D. and McCarthy, P. J. Multiplicative Theory of Ideals, Academic press, New York and London, 1971.
[14] El-Bast, Z.A. and Smith, P.F. Multiplication modules, Comm. In Algebra 16(4) (1988), 755–779.
[15] Lam, T. Y. Lectures on Modules and Rings, GTN, 189, Springer Verlage, Berlin New York, 1999.
[2] Dauns, J. Prime Modules, Journal Reine Angew, Math., 2 (1978), 156-181.
[3] Nuhad S. and Adwia J. Nearly Quasi-prime Submodules, Journal Adv. Res., 5 (1) (2015), 170-180.
[4] Haibat K. M. and Ali Sh. A. Approximaitly Quasi-prime Submodules and Some Related Concepts, Journal of AL-Qadisiyah for computer science and mathematics. 11 (2) (2019), 54-62.
[5] Ali Sh. A. and Omar A. A. and Haibat K. M. Approximaitly Quasi primary Submodules, Ibn Al-Haitham Journal for Pure and Applied Sci., 33 (4) (2020), 92-101.
[6] Haibat K. M. and Shahad J. M. Weakly Approximaitly Quasi-Prime Submodules And Related Concepts. Ibn AL-Haitham Journal For Pure and Applied Sciences, 34 (2) (2021), 56-69.
[7] Hero J. H. and Haibat K. M. Weakly Nearly Quasi Prime Submodules, Tikrit Journal of Pure Science. (2022) to appear.
[8] Anderson, F. W. and Fuller, K. F. Rings and Categories of Modules, Springer Verlag New Yourk, 1992.
[9] Nuhad S. and Adwia J. Nearly prime Submodules, International Journal of Advanced Sci. and Technical Research online, (2015), 166-173.
[10] Ali Sh. A. and Haibat K. M. Approximaitly Prime Submodules and Some Related Concepts, Ibn Al-Haitham Journal for Pure and Applied Sci., 32 (2) (2019), 103-113.
[11] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, 1982.
[12] Dung, N.V., Huynh, D.V., Smith, P.I., and Wishbauer, R. Extending Modules, Pitman Research Notes in Math. Series. Longman, Harlow, (1994).
[13] Larsen, M. D. and McCarthy, P. J. Multiplicative Theory of Ideals, Academic press, New York and London, 1971.
[14] El-Bast, Z.A. and Smith, P.F. Multiplication modules, Comm. In Algebra 16(4) (1988), 755–779.
[15] Lam, T. Y. Lectures on Modules and Rings, GTN, 189, Springer Verlage, Berlin New York, 1999.
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Published
2022-09-24
How to Cite
Ajeel, A. S., & Mohammadali, H. K. (2022). Almost Approximaitly Nearly Quasiprime Submodules. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(3), Math Page 65–74. https://doi.org/10.29304/jqcm.2022.14.3.1028
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Math Articles
