Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings

Ansari, Abu Zaid; Shujat, Faiza; Mozumder, Muzibur Rahman; Ahmed, Wasim

doi:10.22103/jmmr.2024.23356.1641

تعداد نشریات	26
تعداد شماره‌ها	447
تعداد مقالات	4,557
تعداد مشاهده مقاله	5,380,006
تعداد دریافت فایل اصل مقاله	3,580,083

	Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings
Journal of Mahani Mathematical Research
دوره 13، شماره 5 - شماره پیاپی 30، اسفند 2024، صفحه 41-49 اصل مقاله (457.63 K)
نوع مقاله: Special Issue: First Joint IIIMT-Algebra Forum Conference 2023
شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23356.1641
نویسندگان
Abu Zaid Ansari¹؛ Faiza Shujat¹؛ Muzibur Rahman Mozumder^* ²؛ Wasim Ahmed²
¹Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, K.S.A.
²Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India
چکیده
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 $\mathcal{A}$.
کلیدواژه‌ها
Semiprime ring؛ generalized (ζ, ξ)-derivation؛ (ζ, ξ)-derivations

مراجع
[1] Albas, E. (2007). On -centralizers of semiprime rings. Siberian Math. J. 48(2), 191-196. [2] Ali, S. (2011). On generalized left derivations in rings and Banach algebras. Aequat., Math. 81, 209-226. [3] Ali, S. & Haetinger, C. (2008). Jordan -centralizer in rings and some applications. Bol. Soc. Paran. Mat. 26, no. 1-2, 71-80. [4] Bresar, M. (1989). Jordan mappings of semiprime rings. J. Algebra, 17, 218-228. [5] Cusack, J. M. (1975). Jordan derivations in rings. Proc. Amer. Math. Soc. 53(2), 321-324. [6] Herstein, I. N. (1957). Derivations in prime rings. Proc. Amer. Math. Soc. 8, 1104-1110. [7] Jing, W. & Lu, S. (2003). Generalized Jordan derivations on prime rings and standard operator algebras. Taiwanese Journal of Mathematics, 7(4), 605-613. [8] Lanski, C. (2007). Generalized derivations and n-th power maps in rings. Comm. Algebra 35, no. 11, 3660-3672. [9] Liu, C. K. & Shiue, Q. K. (2007). Generalized Jordan triple (; &)-derivations of semiprime rings. Taiwanese J. Math. 11, 1397-1406.
آمار تعداد مشاهده مقاله: 113 تعداد دریافت فایل اصل مقاله: 84

سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب

پیوندهای مفید

آمار

Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings