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On functional identities involving n-derivations in rings | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 5 - شماره پیاپی 30، اسفند 2024، صفحه 21-40 اصل مقاله (516.91 K) | ||
| نوع مقاله: Special Issue: First Joint IIIMT-Algebra Forum Conference 2023 | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23195.1608 | ||
| نویسندگان | ||
| Vaishali Varshney* 1؛ Shakir Ali2، 3؛ Naira Noor Rafiquee2؛ Kok Bin Wong3 | ||
| 1Institute of Applied Sciences & Humanities, GLA University, Mathura-281406, Mathura-281406, India | ||
| 2Department of Mathematics, Aligarh Muslim University, Aligarh, India | ||
| 3Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, 50603, Kuala Lumpur, Malaysia | ||
| چکیده | ||
| 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 discuss correlated findings pertaining to left $n$-multipliers. Lastly, we enrich our results with examples that show the necessity of their assumptions. | ||
| کلیدواژه‌ها | ||
| Semiprime ring؛ Lie ideal؛ Derivation؛ Symmetric $n$-derivation؛ $n$-multiplier | ||
| مراجع | ||
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