On Neutrosophic Multiplication Module
In this article, we investigate some new results of Neutrosophic multiplication module E (shortly Ne(E)). We additionally introduce some light points about some concepts in which have relationship with Neutrosophic multiplication module. We prove that if E is Neutrosophic Artinian multiplication mod...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2022-04-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutrosophicMultiplicationModule12.pdf |
| _version_ | 1797985945555828736 |
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| author | Majid Mohammed Abed Nasruddin Hassan Faisal Al-Sharqi |
| author_facet | Majid Mohammed Abed Nasruddin Hassan Faisal Al-Sharqi |
| author_sort | Majid Mohammed Abed |
| collection | DOAJ |
| description | In this article, we investigate some new results of Neutrosophic multiplication module E (shortly Ne(E)). We additionally introduce some light points about some concepts in which have relationship with Neutrosophic multiplication module. We prove that if E is Neutrosophic Artinian multiplication module and Neutrosophic Jacobson radical of E is a Neutrosophic small submodule of Ne(E), then Ne(E) is a Neutrosophic cyclic module. Finally, we show that if E is a Neutrosophic divisible module over Neutrosophic integral domain, then E is a Neutrosophic multiplication module if and only if E is a Neutrosophic cyclic module. |
| first_indexed | 2024-04-11T07:26:09Z |
| format | Article |
| id | doaj.art-1e80d9c1c0e9459a8d34620cb789bf5b |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-11T07:26:09Z |
| publishDate | 2022-04-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-1e80d9c1c0e9459a8d34620cb789bf5b2022-12-22T04:37:04ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2022-04-014919820810.5281/zenodo.6426389On Neutrosophic Multiplication ModuleMajid Mohammed AbedNasruddin HassanFaisal Al-SharqiIn this article, we investigate some new results of Neutrosophic multiplication module E (shortly Ne(E)). We additionally introduce some light points about some concepts in which have relationship with Neutrosophic multiplication module. We prove that if E is Neutrosophic Artinian multiplication module and Neutrosophic Jacobson radical of E is a Neutrosophic small submodule of Ne(E), then Ne(E) is a Neutrosophic cyclic module. Finally, we show that if E is a Neutrosophic divisible module over Neutrosophic integral domain, then E is a Neutrosophic multiplication module if and only if E is a Neutrosophic cyclic module.http://fs.unm.edu/NSS/NeutrosophicMultiplicationModule12.pdfcyclic modulemultiplication moduleneutrosophic setsneutrosophic submoduleneutrosophic multiplication module |
| spellingShingle | Majid Mohammed Abed Nasruddin Hassan Faisal Al-Sharqi On Neutrosophic Multiplication Module Neutrosophic Sets and Systems cyclic module multiplication module neutrosophic sets neutrosophic submodule neutrosophic multiplication module |
| title | On Neutrosophic Multiplication Module |
| title_full | On Neutrosophic Multiplication Module |
| title_fullStr | On Neutrosophic Multiplication Module |
| title_full_unstemmed | On Neutrosophic Multiplication Module |
| title_short | On Neutrosophic Multiplication Module |
| title_sort | on neutrosophic multiplication module |
| topic | cyclic module multiplication module neutrosophic sets neutrosophic submodule neutrosophic multiplication module |
| url | http://fs.unm.edu/NSS/NeutrosophicMultiplicationModule12.pdf |
| work_keys_str_mv | AT majidmohammedabed onneutrosophicmultiplicationmodule AT nasruddinhassan onneutrosophicmultiplicationmodule AT faisalalsharqi onneutrosophicmultiplicationmodule |