Almost and Strongly Almost Approximately Nearly Quasi Compactly Packed Modules
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Abstract
In this paper, we present the almost approximately nearly quasi compactly packed (submodules) modules as an application of the almost approximately nearly quasiprime submodule. We give some examples, remarks, and properties of this concept. Also, as the strong form of this concept, we introduce the strongly, almost approximately nearly quasi compactly packed (submodules) modules. Moreover, we present the definitions of almost approximately nearly quasiprime radical submodules and almost approximately nearly quasiprime radical submodules and give some basic properties of these concepts that will be needed in section four of this research. We study these two concepts extensively.
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References
Ali Sh. A.; Haibat K. M. Almost Approximaitly Nearly Quasiprime Submodules, J. of AL-Qadisiyah for computer science and mathematics, 14(3), will be published in 2022.
Abdul-Razak H. M. Quasi-Prime Modules and Quasi-Prime submodules, M.Sc. Thesis, Univ. of Baghdad. 1999.
Nuhad, S. A.; Adwia, J. A. Nearly Quasi Prime Submodules, International Journal of Advanced Research, 2017, 5(1), 170-180.
Ali Sh. A.; Omar A. A.; Haibat K. M. Approximaitly Quasi Primary Submodules, Ibn Al-Haitham Journal for Pure and Applied Sci. 2020, 33(4), 92-101.
Athab, E. A. Prime and Semi Prime, M.Sc. Thesis, Univ. of Baghdad. 1996.
El-Bast, Z. A.; Smith, P. F. Multiplication Modules, Comm. In Algebra, 1988, 16(4), 755-779.
Ahmad, A. A. On Submodules of Multiplication Modules, M.Sc. Thesis, Univ. of Baghdad. 1993.
Dung, N.V.; Huynh, D.V.; Smith, P.I., and Wishbauer, R. Extending Modules, Pitman Research Notes in Math. Series. Longman, Harlow. 1994.
Larsen, M. D.; McCarthy, P. J. Multiplicative Theory of Ideals, Academic press, New York and London. 1971.
Zelmanowitz, J. Regular Modules, American Mathematical Society, 1972, 163, 341-355.
Kasch, F. Modules and Rings, London Math. Soc. Monographs, New York, Academic Press. 1982.
Barnard, A. Multiplication Modules, J. of Algebra, 1981, 71(1), 174-178.
Ali Sh. A.; Haibat K. M. Characterizations of Almost Approximaitly Nearly Quasiprime Submodules in Some Kinds of Modules, J. of AL-Qadisiyah for computer science and mathematics, to appear.