Neutrosophic modules over modules
A module represents a fundamental and complicated algebraic structure associated with a particular binary operation in algebraic theory. This paper introduces a new class of neutrosophic sub-module and neutrosophic R-sub-module. We extend the basic definitions in this area for the first time. Variou...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241705 |
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| author | Ali Yahya Hummdi Amr Elrawy Ayat A. Temraz |
| author_facet | Ali Yahya Hummdi Amr Elrawy Ayat A. Temraz |
| author_sort | Ali Yahya Hummdi |
| collection | DOAJ |
| description | A module represents a fundamental and complicated algebraic structure associated with a particular binary operation in algebraic theory. This paper introduces a new class of neutrosophic sub-module and neutrosophic R-sub-module. We extend the basic definitions in this area for the first time. Various properties of a neutrosophic R-sub-module are studied in different classes of rings. Moreover, various definitions of direct product and homomorphism of neutrosophic R-sub-modules are discussed, and results are provided. |
| format | Article |
| id | doaj-art-7ce03a0abae5418fa4c133270f50e5d8 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-7ce03a0abae5418fa4c133270f50e5d82025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912359643597710.3934/math.20241705Neutrosophic modules over modulesAli Yahya Hummdi0Amr Elrawy1Ayat A. Temraz2Department of Mathematics, College of Science, King Khalid University, Abha 61471, Saudi ArabiaDepartment of Mathematics, Faculty of Science, SVU, Qena 83523, EgyptDepartment of Mathematics, Faculty of Science, SVU, Qena 83523, EgyptA module represents a fundamental and complicated algebraic structure associated with a particular binary operation in algebraic theory. This paper introduces a new class of neutrosophic sub-module and neutrosophic R-sub-module. We extend the basic definitions in this area for the first time. Various properties of a neutrosophic R-sub-module are studied in different classes of rings. Moreover, various definitions of direct product and homomorphism of neutrosophic R-sub-modules are discussed, and results are provided.https://www.aimspress.com/article/doi/10.3934/math.20241705neutrosophic setneutrosophic modulesmodules |
| spellingShingle | Ali Yahya Hummdi Amr Elrawy Ayat A. Temraz Neutrosophic modules over modules AIMS Mathematics neutrosophic set neutrosophic modules modules |
| title | Neutrosophic modules over modules |
| title_full | Neutrosophic modules over modules |
| title_fullStr | Neutrosophic modules over modules |
| title_full_unstemmed | Neutrosophic modules over modules |
| title_short | Neutrosophic modules over modules |
| title_sort | neutrosophic modules over modules |
| topic | neutrosophic set neutrosophic modules modules |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241705 |
| work_keys_str_mv | AT aliyahyahummdi neutrosophicmodulesovermodules AT amrelrawy neutrosophicmodulesovermodules AT ayatatemraz neutrosophicmodulesovermodules |