On Nearly Semi-2-Absorbing Submodules

Authors

  • Shwkaea M. Rajab Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Iraq
  • Haibat K. Mohammadali Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Iraq

DOI:

https://doi.org/10.54153/sjpas.2024.v6i3.803

Keywords:

2-Absorbing submodules, Semi-2-Absorbing submodules, Jacobson radical, Nearly Semi-2-Absorbing submodules, Multiplication modules

Abstract

This research argues that a commutative ring with an identity and  is a unitary left -module. Nearly Semi-2-Absorbing sub-modules as a new generalization of 2-Absorbing and Semi-2-Absorbing sub-modules were introduced in this paper. Many basic properties, characterizations, and examples of this concept are given. Moreover, several characterizations of Nearly Semi-2-Absorbing sub-modules in the class of multiplication modules have been established. Furthermore, we show that by examples, the residual of Nearly Semi-2-Absorbing sub-modules does not need to be Nearly Semi-2-Absorbing ideals of . So, we have proven this case in some types of modules.

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Published

2024-09-30

How to Cite

M. Rajab, S., & K. Mohammadali, H. (2024). On Nearly Semi-2-Absorbing Submodules. Samarra Journal of Pure and Applied Science, 6(3), 221–235. https://doi.org/10.54153/sjpas.2024.v6i3.803