Strongly Pseudo Nearly Semei-2-Absorbing Submodule(I)

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Mohmad Essa Dahash
Haibat K. Mohammadali

Abstract

Let  be a module over a commutative ring  with identity. In this paper we intoduce the concept of Strongly Pseudo Nearly Semi-2-Absorbing submodule, where a  proper submodule  of an -module  is said to be Strongly Pseudo Nearly Semi-2-Absorbing submodule of   if whenever , for implies that either  or , this concept is a generalization of 2_Absorbing submodule, semi 2-Absorbing submodule, and strong form of (Nearly–2–Absorbing, Pseudo_2_Absorbing, and Nearly Semi–2–Absorbing) submodules. Several properties characterizations, and examples concerning this new notion are given. We study the relation between Strongly Pseudo Nearly Semei-2-Absorbing submodule and (2_Absorbing, Nearly_2_Absorbing, Pseudo_2_Absorbing, and Nearly Semi–2–Absorbing) submodules and the converse of this relation is true under certain condition. Also, we introduced many characterizations of  Strongly Pseudo Nearly Semei-2-Absorbing submodules in some types of modules.

Article Details

How to Cite
[1]
Essa Dahash, M. and K. Mohammadali, H. 2023. Strongly Pseudo Nearly Semei-2-Absorbing Submodule(I). Ibn AL-Haitham Journal For Pure and Applied Sciences. 36, 2 (Apr. 2023), 354–366. DOI:https://doi.org/10.30526/36.2.3021.
Section
Mathematics

Publication Dates

References

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