Centrally Extended α-Homoderivations on Prime and Semiprime Rings
We present a new type of mappings called centrally extended α-homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies Hx+y−Hx−Hy∈Zℜ and Hxy−HxHy−Hxαy−αxHy∈Zℜ for any x,y∈ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings. Also...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2584177 |
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| _version_ | 1832553468464726016 |
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| author | Mahmoud M. El-Soufi A. Ghareeb |
| author_facet | Mahmoud M. El-Soufi A. Ghareeb |
| author_sort | Mahmoud M. El-Soufi |
| collection | DOAJ |
| description | We present a new type of mappings called centrally extended α-homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies Hx+y−Hx−Hy∈Zℜ and Hxy−HxHy−Hxαy−αxHy∈Zℜ for any x,y∈ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings. Also, we study their effect on the center of a ring, and we give several outcomes on the commutativity of the ring. |
| format | Article |
| id | doaj-art-629606be9ad649dba163ed3c8f289336 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-629606be9ad649dba163ed3c8f2893362025-02-03T05:53:50ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2584177Centrally Extended α-Homoderivations on Prime and Semiprime RingsMahmoud M. El-Soufi0A. Ghareeb1Department of MathematicsDepartment of MathematicsWe present a new type of mappings called centrally extended α-homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies Hx+y−Hx−Hy∈Zℜ and Hxy−HxHy−Hxαy−αxHy∈Zℜ for any x,y∈ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings. Also, we study their effect on the center of a ring, and we give several outcomes on the commutativity of the ring.http://dx.doi.org/10.1155/2022/2584177 |
| spellingShingle | Mahmoud M. El-Soufi A. Ghareeb Centrally Extended α-Homoderivations on Prime and Semiprime Rings Journal of Mathematics |
| title | Centrally Extended α-Homoderivations on Prime and Semiprime Rings |
| title_full | Centrally Extended α-Homoderivations on Prime and Semiprime Rings |
| title_fullStr | Centrally Extended α-Homoderivations on Prime and Semiprime Rings |
| title_full_unstemmed | Centrally Extended α-Homoderivations on Prime and Semiprime Rings |
| title_short | Centrally Extended α-Homoderivations on Prime and Semiprime Rings |
| title_sort | centrally extended α homoderivations on prime and semiprime rings |
| url | http://dx.doi.org/10.1155/2022/2584177 |
| work_keys_str_mv | AT mahmoudmelsoufi centrallyextendedahomoderivationsonprimeandsemiprimerings AT aghareeb centrallyextendedahomoderivationsonprimeandsemiprimerings |