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Jordan generalized derivation on generalized module extension Banach algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 24 بهمن 1404 اصل مقاله (331.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.35693.5308 | ||
| نویسندگان | ||
| Morteza Essmaili* 1؛ Hatam Vahdati1؛ Ahmad Alinejad2 | ||
| 1Department of Mathematics, Faculty of Mathematical and Computer Science, Kharazmi University, 50 Taleghani Avenue, 15618 Tehran, Iran | ||
| 2College of Farabi, University of Tehran, Iran | ||
| تاریخ دریافت: 29 مهر 1403، تاریخ پذیرش: 27 دی 1403 | ||
| چکیده | ||
| In this paper, we study the problem of describing the form of Jordan generalized $d$-derivations on generalized module extension Banach algebras. As an application, we characterize the form of Jordan generalized $d$-derivations on $\theta$-Lau product of Banach algebras. Finally, we show that under some sufficient and necessary conditions, every Jordan generalized $d$-derivation on a generalized module extension Banach algebra is the sum of a generalized $d$-derivation and an antiderivation. | ||
| کلیدواژهها | ||
| generalized Jordan $d$-derivation؛ generalized module extension Banach algebra؛ $\theta$-Lau product of Banach algebras | ||
| مراجع | ||
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