On functional identities involving n-derivations in rings
In this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings. Additionally, we address and discusscorrelated findings pertaining to left $n$-multipliers. Last...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Bahonar University of Kerman
2024-12-01
|
| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_4526_08d099478fd46f29a8c51d6aea4b2fde.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841560192282525696 |
|---|---|
| author | Vaishali Varshney Shakir Ali Naira Noor Rafiquee Kok Wong |
| author_facet | Vaishali Varshney Shakir Ali Naira Noor Rafiquee Kok Wong |
| author_sort | Vaishali Varshney |
| collection | DOAJ |
| description | In this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings. Additionally, we address and discusscorrelated findings pertaining to left $n$-multipliers. Lastly, we enrich our results with examples that show the necessity of their assumptions. |
| format | Article |
| id | doaj-art-78f5dcc3d30a462898a2a0705a6007e2 |
| 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-78f5dcc3d30a462898a2a0705a6007e22025-01-04T19:29:56ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-12-01135214010.22103/jmmr.2024.23195.16084526On functional identities involving n-derivations in ringsVaishali Varshney0Shakir Ali1Naira Noor Rafiquee2Kok Wong3Institute of Applied Sciences & Humanities, GLA University, Mathura-281406, Mathura-281406, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh, IndiaInstitute of Mathematical Sciences, Faculty of Science, Universiti Malaya, 50603, Kuala Lumpur, MalaysiaIn this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings. Additionally, we address and discusscorrelated findings pertaining to left $n$-multipliers. Lastly, we enrich our results with examples that show the necessity of their assumptions.https://jmmrc.uk.ac.ir/article_4526_08d099478fd46f29a8c51d6aea4b2fde.pdfsemiprime ringlie idealderivationsymmetric $n$-derivation$n$-multiplier |
| spellingShingle | Vaishali Varshney Shakir Ali Naira Noor Rafiquee Kok Wong On functional identities involving n-derivations in rings Journal of Mahani Mathematical Research semiprime ring lie ideal derivation symmetric $n$-derivation $n$-multiplier |
| title | On functional identities involving n-derivations in rings |
| title_full | On functional identities involving n-derivations in rings |
| title_fullStr | On functional identities involving n-derivations in rings |
| title_full_unstemmed | On functional identities involving n-derivations in rings |
| title_short | On functional identities involving n-derivations in rings |
| title_sort | on functional identities involving n derivations in rings |
| topic | semiprime ring lie ideal derivation symmetric $n$-derivation $n$-multiplier |
| url | https://jmmrc.uk.ac.ir/article_4526_08d099478fd46f29a8c51d6aea4b2fde.pdf |
| work_keys_str_mv | AT vaishalivarshney onfunctionalidentitiesinvolvingnderivationsinrings AT shakirali onfunctionalidentitiesinvolvingnderivationsinrings AT nairanoorrafiquee onfunctionalidentitiesinvolvingnderivationsinrings AT kokwong onfunctionalidentitiesinvolvingnderivationsinrings |