On Nearly Semi-2-Absorbing Submodules

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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Publication Details

Journal
Samarra Journal of Pure and Applied Science
Published
2024-09-30
DOI
https://doi.org/10.54153/sjpas.2024.v6i3.803
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

On Nearly Semi-2-Absorbing Submodules

Haibat K. Mohammadali, Shwkaea M. Rajab
Samarra Journal of Pure and Applied Science
Rings, Modules, and Algebras
article

On Nearly Semi-2-Absorbing Submodules

Haibat K. Mohammadali, Shwkaea M. Rajab
article en

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.

Samarra Journal of Pure and Applied ScienceVol. 6(3)
University of Tikrit (IQ)
Openalex Percentile: Top 53%
Rings, Modules, and Algebras
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