On centrally-extended $ n $-homoderivations on rings
In this article, we explored the commutativity of a ring $ \Lambda $ that is equipped with a unique class of mappings called centrally extended $ n $-homoderivations, where $ n $ is an integer. These mappings generalize the concepts of derivations and homoderivations. Furthermore, we investigated sp...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025328 |
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| author | M. S. Tammam El-Sayiad Munerah Almulhem |
| author_facet | M. S. Tammam El-Sayiad Munerah Almulhem |
| author_sort | M. S. Tammam El-Sayiad |
| collection | DOAJ |
| description | In this article, we explored the commutativity of a ring $ \Lambda $ that is equipped with a unique class of mappings called centrally extended $ n $-homoderivations, where $ n $ is an integer. These mappings generalize the concepts of derivations and homoderivations. Furthermore, we investigated specific properties of the center of such rings. |
| format | Article |
| id | doaj-art-e239fbd3cea949cc96a9960db73a1559 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-e239fbd3cea949cc96a9960db73a15592025-08-20T01:54:41ZengAIMS PressAIMS Mathematics2473-69882025-03-011037191720510.3934/math.2025328On centrally-extended $ n $-homoderivations on ringsM. S. Tammam El-Sayiad0Munerah Almulhem1Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef City 62111, EgyptDepartment of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 35811, Saudi ArabiaIn this article, we explored the commutativity of a ring $ \Lambda $ that is equipped with a unique class of mappings called centrally extended $ n $-homoderivations, where $ n $ is an integer. These mappings generalize the concepts of derivations and homoderivations. Furthermore, we investigated specific properties of the center of such rings.https://www.aimspress.com/article/doi/10.3934/math.2025328prime and semiprime ringshomoderivationce-derivationce-$ n $-homoderivation |
| spellingShingle | M. S. Tammam El-Sayiad Munerah Almulhem On centrally-extended $ n $-homoderivations on rings AIMS Mathematics prime and semiprime rings homoderivation ce-derivation ce-$ n $-homoderivation |
| title | On centrally-extended $ n $-homoderivations on rings |
| title_full | On centrally-extended $ n $-homoderivations on rings |
| title_fullStr | On centrally-extended $ n $-homoderivations on rings |
| title_full_unstemmed | On centrally-extended $ n $-homoderivations on rings |
| title_short | On centrally-extended $ n $-homoderivations on rings |
| title_sort | on centrally extended n homoderivations on rings |
| topic | prime and semiprime rings homoderivation ce-derivation ce-$ n $-homoderivation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025328 |
| work_keys_str_mv | AT mstammamelsayiad oncentrallyextendednhomoderivationsonrings AT munerahalmulhem oncentrallyextendednhomoderivationsonrings |