Characterizations of Almost Approximaitly Nearly Quasiprime Submodules in Some Kinds of Modules
DOI:
https://doi.org/10.29304/jqcm.2022.14.4.1121Keywords:
Multiplication Modules.Abstract
Our main goal in this note is to introduce several characterizations of Almost approximaitly nearly quasiprime submodule in class of multiplication modules. Moreover, we characterized Almost approximaitly nearly quasiprime submodules by theirs residual in class of multiplication modules with the help of some types of modules as projective, faithful, content and -regular modules. And we characterized almost approximaitly nearly quasiprime ideal by almost approximaitly nearly quasiprime of the form .
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References
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[2] 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.
[3] 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.
[4] 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.
[5] Hero J. H. and Haibat K. M. On WNQP – Submodules, Journal of AL-Qadisiyah for computer science and mathematics. 14 (2) (2022), 9-14.
[6] Ali Sh. A. and Haibat K. M. Almost Approximaitly Nearly Quasiprime Submodules, Journal of AL-Qadisiyah for computer science and mathematics, 14 (3) (2022), 65-74.
[7] Anderson, F. W. and Fuller, K. F. Rings and Categories of Modules, Springer Verlag New Yourk, 1992.
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[10] Darani, A. Y. and Soheilnia, F. 2-Absorbing and Weakly 2-Absorbing Submodules, Thai Journal of Mathematics, 9(3) (2011), 577-584.
[11] Noderi, M. and Razaj. Weakly Primary Submodules of Multiplication Modules and Intersection Theorem, Int. Journal Contemp. Math. Sci. 4(13) (2009), 1645-1652.
[12] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, 1982.
[13] Lam, T. Y. Lectures on Modules and Rings, GTN, 189, Springer Verlage, Berlin New York, 1999.
[14] Lu, C. P. M-radical of Submodules, Math. Japan. 34 (2) (1989), 211-219.
[15] Nuha, H. H. The Radical of modules, M.Sc. Thesis, University of Baghdad, 1996.
[16] Zelmanowitz, J. Regular Modules, Trans. American, Math. Soc. 163 (1973), 341-355.
[17] Patrick. F. S. Some Remarks on Multiplication Modules, Arch. Math. 50 (1988), 223-235.
[18] Ali, S. M. On Cancellation Modules, M.Sc. Thesis, University of Baghdad, 1992.
[2] 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.
[3] 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.
[4] 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.
[5] Hero J. H. and Haibat K. M. On WNQP – Submodules, Journal of AL-Qadisiyah for computer science and mathematics. 14 (2) (2022), 9-14.
[6] Ali Sh. A. and Haibat K. M. Almost Approximaitly Nearly Quasiprime Submodules, Journal of AL-Qadisiyah for computer science and mathematics, 14 (3) (2022), 65-74.
[7] Anderson, F. W. and Fuller, K. F. Rings and Categories of Modules, Springer Verlag New Yourk, 1992.
[8] El-Bast, Z.A. and Smith, P.F. Multiplication modules, Comm. In Algebra 16(4) (1988), 755–779.
[9] Barnard, A. Multiplication Modules, Journal of Algebra, (71) (1981), 174-178.
[10] Darani, A. Y. and Soheilnia, F. 2-Absorbing and Weakly 2-Absorbing Submodules, Thai Journal of Mathematics, 9(3) (2011), 577-584.
[11] Noderi, M. and Razaj. Weakly Primary Submodules of Multiplication Modules and Intersection Theorem, Int. Journal Contemp. Math. Sci. 4(13) (2009), 1645-1652.
[12] Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic press, 1982.
[13] Lam, T. Y. Lectures on Modules and Rings, GTN, 189, Springer Verlage, Berlin New York, 1999.
[14] Lu, C. P. M-radical of Submodules, Math. Japan. 34 (2) (1989), 211-219.
[15] Nuha, H. H. The Radical of modules, M.Sc. Thesis, University of Baghdad, 1996.
[16] Zelmanowitz, J. Regular Modules, Trans. American, Math. Soc. 163 (1973), 341-355.
[17] Patrick. F. S. Some Remarks on Multiplication Modules, Arch. Math. 50 (1988), 223-235.
[18] Ali, S. M. On Cancellation Modules, M.Sc. Thesis, University of Baghdad, 1992.
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Published
2022-12-31
How to Cite
Ajeel, A. S., & Mohammadali, H. K. (2022). Characterizations of Almost Approximaitly Nearly Quasiprime Submodules in Some Kinds of Modules. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(4), Math Page 115–120. https://doi.org/10.29304/jqcm.2022.14.4.1121
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