پیوندهای مفید
آمار
| تعداد نشریات | 22 |
| تعداد شمارهها | 705 |
| تعداد مقالات | 10,146 |
| تعداد مشاهده مقاله | 71,450,492 |
| تعداد دریافت فایل اصل مقاله | 63,173,980 |
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 | ||
|
[1] M.A. Bahmani, D. Bennis, H.R.E. Vishki, A.E. Attar, and B. Fahid, Jordan generalized derivations on trivial extension algebras, Commun. Korean Math. Soc. 33 (2018), no. 3, 721–739.
[2] M. Bresar, On the distance of the composition of two derivations to the generalized derivations, Glasg. Math. J. 33 (1991), 89–93.
[3] M. D’Anna and M. Fontana, An amalgamated duplication of a ring along an ideal: The basic properties, J. Algebra Appl. 6 (2007), 443–459.
[4] A. Ebaddian and A. Jabbari, Biprojectivity and biflatness of amalgamated duplication of Banach algebras, J. Algebra Appl. 19 (2020), no. 4, 2050132.
[5] M. Essmaili, A. Rejali, and A. Salehi Marzijarani, Biprojectivity of generalized module extension and second dual of Banach algebras, J. Algebra Appl. 21 (2022), no. 4, 2250070.
[6] J.-C. Hou and X.-F. Qi, Generalized Jordan derivation on nest algebras, Linear Algebra Appl. 430 (2009), 1479–1485.
[7] B. Hvala, Generalized derivations in rings, Commun. Algebra, 26 (1998), 1147–1166.
[8] W. Jing and S. Lu, Generalized Jordan derivations on prime rings and standard operator algebras, Taiwanese J. Math. 7 (2003), 605–613.
[9] Y. Li and D. Benkonic, Jordan generalized derivations on triangular algebras, Linear Multilinear Algebra 59 (2011), no. 8, 841–849.
[10] F. Ma and G.-X. Ji, Generalized Jordan derivations on triangular matrix algebras, Linear Multilinear Algebra 55 (2007), 355–363.
[11] H. Pourmahmood Aghababa, Derivations on generalized semidirect products of Banach algebras, Banach J. Math. Anal. 10 (2016), no. 3, 509–522.
[12] H. Pourmahmood Aghababa and N. Shirmohammadi, On amalgamated Banach algebras, Period. Math. Hung. 75 (2017), no. 1, 1–13. | ||
|
آمار تعداد مشاهده مقاله: 46 تعداد دریافت فایل اصل مقاله: 61 |
||