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Characterization of n-Jordan multipliers on rings | ||
| Journal of Mahani Mathematical Research | ||
| دوره 14، شماره 1 - شماره پیاپی 31، فروردین 2025، صفحه 63-72 اصل مقاله (471.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23271.1617 | ||
| نویسنده | ||
| Abbas Zivari-Kazempour* | ||
| Department of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran | ||
| چکیده | ||
| Our main result states that every Jordan multiplier $T$ from a commutative ring $\mathcal{R}$ into a faithful $\mathcal{R}$-bimodule $M$ with characteristic different from $2$, is a multiplier. We also generalize this result for all $n\geq 2$ with a suitable condition. Furthermore, we investigate some illuminating properties of such maps. | ||
| کلیدواژه‌ها | ||
| $n$-Jordan multiplier؛ $n$-multiplier؛ faithful؛ commutative ring | ||
| مراجع | ||
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[12] Zivari-Kazempour, A. (2022). Characterization of n-Jordan multipliers, Vietnam J. Math., 50(1), 87{94. https://doi.org/10.1007/s10013-021-00479-7
[13] Zivari-Kazempour, A., & Valaei, M. (2022). Characterization of n-Jordan multipliers through zero products, J. Analysis, 30(3), 1059-1067. https://doi.org/10.1007/s41478-022-00395-0
[14] Zivari-Kazempour, A. (2025). An identity related to -centralizers in semiprime rings, J. Algebraic Systems., 12(2), 367{377. https://doi.org/10.22044/jas.2023.11856.1607 | ||
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