Extend Nearly Pseudo Quasi-2-Absorbing submodules(I)
The concept of a 2-Absorbing submodule is considered as an essential feature in the field of module theory and has many generalizations. This articale discusses the concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules and their relationship to the 2-Absorbing submodule, Quasi-2-Absorbin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad
2023-04-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3019 |
| _version_ | 1797842524008611840 |
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| author | Omer Abdullah Haibat Karim Mohammadali |
| author_facet | Omer Abdullah Haibat Karim Mohammadali |
| author_sort | Omer Abdullah |
| collection | DOAJ |
| description |
The concept of a 2-Absorbing submodule is considered as an essential feature in the field of module theory and has many generalizations. This articale discusses the concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules and their relationship to the 2-Absorbing submodule, Quasi-2-Absorbing submodule, Nearly-2-Absorbing submodule, Pseudo-2-Absorbing submodule, and the rest of the other concepts previously studied. The relationship between them has been studied, explaining that the opposite is not true and that under certain conditions the opposite becomes true. This article aims to study this concept and gives the most important propositions, characterizations, remarks, examples, lemmas, and observations related to it. In the end, we will present a very important equivalent of our concept with the rest of the concepts presented previously.
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| first_indexed | 2024-04-09T16:49:19Z |
| format | Article |
| id | doaj.art-a42378899ab3465aa377c5dc22488722 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-09T16:49:19Z |
| publishDate | 2023-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-a42378899ab3465aa377c5dc224887222023-04-22T03:30:09ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072023-04-0136210.30526/36.2.3019Extend Nearly Pseudo Quasi-2-Absorbing submodules(I)Omer Abdullah0Haibat Karim Mohammadali1Department of Mathematics, College of Computer Science and Mathematics, Tikrit University Department of Mathematics College of Computer Science and Mathematics Tikrit University The concept of a 2-Absorbing submodule is considered as an essential feature in the field of module theory and has many generalizations. This articale discusses the concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules and their relationship to the 2-Absorbing submodule, Quasi-2-Absorbing submodule, Nearly-2-Absorbing submodule, Pseudo-2-Absorbing submodule, and the rest of the other concepts previously studied. The relationship between them has been studied, explaining that the opposite is not true and that under certain conditions the opposite becomes true. This article aims to study this concept and gives the most important propositions, characterizations, remarks, examples, lemmas, and observations related to it. In the end, we will present a very important equivalent of our concept with the rest of the concepts presented previously. https://jih.uobaghdad.edu.iq/index.php/j/article/view/30192-Absorbing submodule, Quasi-2-Absorbing submodule, socal of module, Jacobson of module, cyclic and multiplication modules. |
| spellingShingle | Omer Abdullah Haibat Karim Mohammadali Extend Nearly Pseudo Quasi-2-Absorbing submodules(I) Ibn Al-Haitham Journal for Pure and Applied Sciences 2-Absorbing submodule, Quasi-2-Absorbing submodule, socal of module, Jacobson of module, cyclic and multiplication modules. |
| title | Extend Nearly Pseudo Quasi-2-Absorbing submodules(I) |
| title_full | Extend Nearly Pseudo Quasi-2-Absorbing submodules(I) |
| title_fullStr | Extend Nearly Pseudo Quasi-2-Absorbing submodules(I) |
| title_full_unstemmed | Extend Nearly Pseudo Quasi-2-Absorbing submodules(I) |
| title_short | Extend Nearly Pseudo Quasi-2-Absorbing submodules(I) |
| title_sort | extend nearly pseudo quasi 2 absorbing submodules i |
| topic | 2-Absorbing submodule, Quasi-2-Absorbing submodule, socal of module, Jacobson of module, cyclic and multiplication modules. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3019 |
| work_keys_str_mv | AT omerabdullah extendnearlypseudoquasi2absorbingsubmodulesi AT haibatkarimmohammadali extendnearlypseudoquasi2absorbingsubmodulesi |