Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings
The purpose of this research is to demonstrate the following assertions: an additive mapping $\mathcal{H}$ is a generalized ($\zeta, \xi$)-derivation associated with a ($\zeta, \xi$)-derivation ${\bf h}$, where $\zeta, \xi$ are endomorphisms on a $(m+n+p-1)!$-torsion free semiprime ring $\mathcal{A}...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2024-12-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_4538_ed69d94ecb7889441871e7eaf04eaadb.pdf |
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| author | Abu Zaid Ansari Faiza Shujat Muzibur Mozumder Wasim Ahmed |
| author_facet | Abu Zaid Ansari Faiza Shujat Muzibur Mozumder Wasim Ahmed |
| author_sort | Abu Zaid Ansari |
| collection | DOAJ |
| description | The purpose of this research is to demonstrate the following assertions: an additive mapping $\mathcal{H}$ is a generalized ($\zeta, \xi$)-derivation associated with a ($\zeta, \xi$)-derivation ${\bf h}$, where $\zeta, \xi$ are endomorphisms on a $(m+n+p-1)!$-torsion free semiprime ring $\mathcal{A}$. Here we prove another result in the setting of the generalized left ($\zeta, \xi$)-derivation on $\mathcal{A}$. |
| format | Article |
| id | doaj-art-17ed0920923541449d97870cf5a89ccb |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-17ed0920923541449d97870cf5a89ccb2025-01-04T19:29:56ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-12-01135414910.22103/jmmr.2024.23356.16414538Generalized Jordan triple (ζ, ξ)-derivations on semiprime ringsAbu Zaid Ansari0Faiza Shujat1Muzibur Mozumder2Wasim Ahmed3Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, K.S.A.Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, K.S.A.Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, IndiaDepartment of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, IndiaThe purpose of this research is to demonstrate the following assertions: an additive mapping $\mathcal{H}$ is a generalized ($\zeta, \xi$)-derivation associated with a ($\zeta, \xi$)-derivation ${\bf h}$, where $\zeta, \xi$ are endomorphisms on a $(m+n+p-1)!$-torsion free semiprime ring $\mathcal{A}$. Here we prove another result in the setting of the generalized left ($\zeta, \xi$)-derivation on $\mathcal{A}$.https://jmmrc.uk.ac.ir/article_4538_ed69d94ecb7889441871e7eaf04eaadb.pdfsemiprime ringgeneralized (ζ, ξ)-derivation(ζ, ξ)-derivations |
| spellingShingle | Abu Zaid Ansari Faiza Shujat Muzibur Mozumder Wasim Ahmed Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings Journal of Mahani Mathematical Research semiprime ring generalized (ζ, ξ)-derivation (ζ, ξ)-derivations |
| title | Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings |
| title_full | Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings |
| title_fullStr | Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings |
| title_full_unstemmed | Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings |
| title_short | Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings |
| title_sort | generalized jordan triple ζ ξ derivations on semiprime rings |
| topic | semiprime ring generalized (ζ, ξ)-derivation (ζ, ξ)-derivations |
| url | https://jmmrc.uk.ac.ir/article_4538_ed69d94ecb7889441871e7eaf04eaadb.pdf |
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