A Note on Skew Derivations and Antiautomorphisms of Prime Rings
In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity-preserving maps to analyze these rings. Furthermore, examples demonstra...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/5589151 |
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| _version_ | 1832590418380849152 |
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| author | Faez A. Alqarni Nadeem U. R. Rehman Hafedh Alnoghashi Junaid Nisar Omar Al-Mallah |
| author_facet | Faez A. Alqarni Nadeem U. R. Rehman Hafedh Alnoghashi Junaid Nisar Omar Al-Mallah |
| author_sort | Faez A. Alqarni |
| collection | DOAJ |
| description | In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity-preserving maps to analyze these rings. Furthermore, examples demonstrate that the conditions imposed on the hypotheses are essential. |
| format | Article |
| id | doaj-art-b2f4818b79b04eeebeef36b56c284ed7 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b2f4818b79b04eeebeef36b56c284ed72025-01-24T00:00:01ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/5589151A Note on Skew Derivations and Antiautomorphisms of Prime RingsFaez A. Alqarni0Nadeem U. R. Rehman1Hafedh Alnoghashi2Junaid Nisar3Omar Al-Mallah4Department of General StudiesDepartment of MathematicsDepartment of Computer ScienceDepartment of Applied SciencesDepartment of MathematicsIn this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity-preserving maps to analyze these rings. Furthermore, examples demonstrate that the conditions imposed on the hypotheses are essential.http://dx.doi.org/10.1155/jom/5589151 |
| spellingShingle | Faez A. Alqarni Nadeem U. R. Rehman Hafedh Alnoghashi Junaid Nisar Omar Al-Mallah A Note on Skew Derivations and Antiautomorphisms of Prime Rings Journal of Mathematics |
| title | A Note on Skew Derivations and Antiautomorphisms of Prime Rings |
| title_full | A Note on Skew Derivations and Antiautomorphisms of Prime Rings |
| title_fullStr | A Note on Skew Derivations and Antiautomorphisms of Prime Rings |
| title_full_unstemmed | A Note on Skew Derivations and Antiautomorphisms of Prime Rings |
| title_short | A Note on Skew Derivations and Antiautomorphisms of Prime Rings |
| title_sort | note on skew derivations and antiautomorphisms of prime rings |
| url | http://dx.doi.org/10.1155/jom/5589151 |
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