On Triangular n-Matrix Rings Having Multiplicative Lie Type Derivations

被引：3

作者：

Jabeen, Aisha ^{[1
]}

Raza, Mohd Arif ^{[2
]}

Ahmad, Musheer ^{[1
]}

机构：

[1] Jamia Millia Islamia, Dept Appl Sci & Humanities, New Delhi 110025, India

[2] King Abdulaziz Univ, Dept Math, Coll Sci & Arts Rabigh, Jeddah, Saudi Arabia

来源：

FILOMAT | 2022年 / 36卷 / 18期

关键词：

derivation; Lie derivation; matrix ring;

D O I：

10.2298/FIL2218103J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let 1 < n subset of Z(+) and T be a triangular n-matrix ring. This manuscript reveals that under a few moderate presumptions, a map L : T -> T could be a multiplicative Lie N-derivation iff L(X) = D(X) +zeta(X) holds on every X. T, where D : T -> T is an additive derivation and. : T -> Z (T) is a central valued map that disappears on all Lie N-products.

引用

页码：6103 / 6122

页数：20

共 50 条

[41] Characterizations of Lie-type derivations of triangular algebras with local actions
Akhtar, Mohd Shuaib
Ashraf, Mohammad
Ansari, Mohammad Afajal
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (02) : 559 - 574
[42] Characterizations of Lie-type derivations of triangular algebras with local actions
Mohd Shuaib Akhtar
Mohammad Ashraf
Mohammad Afajal Ansari
Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 559 - 574
[43] Local and 2-Local Derivations on Lie Matrix Rings over Commutative Involutive Rings
Ayupov, Sh. A.
Arzikulov, F. N.
Umrzaqov, S. M.
JOURNAL OF LIE THEORY, 2022, 32 (04) : 1053 - 1071
[44] Constructions and generalized derivations of multiplicative n-BiHom-Lie color algebras
Bakayoko, Ibrahima
Laraiedh, Ismail
COMMUNICATIONS IN ALGEBRA, 2024, 52 (05) : 1982 - 2014
[45] Multiplicative Jordan n-higher derivations on alternative rings containing idempotents
Kawa, Ab Hamid
Hasan, S. N.
Wani, B. A.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (05)
[46] Multiplicative Jordan type higher Derivations of Unital Rings with non trivial Idempotents
Kawa, Ab Hamid
Hasan, S. N.
Wani, Bilal Ahmad
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2023, 14 (01) : 36 - 49
[47] Generalized Lie n-derivations on generalized matrix algebras
Li, Shan
Luo, Kaijia
Li, Jiankui
AIMS MATHEMATICS, 2024, 9 (10): : 29386 - 29403
[48] Nonlinear lie-type derivations on full matrix algebras
Zhankui Xiao
Feng Wei
Monatshefte für Mathematik, 2013, 170 : 77 - 88
[49] Nonlinear lie-type derivations on full matrix algebras
Xiao, Zhankui
Wei, Feng
MONATSHEFTE FUR MATHEMATIK, 2013, 170 (01): : 77 - 88
[50] Local and 2-local Lie n-derivations of triangular algebras
Zhao, Xingpeng
COMMUNICATIONS IN ALGEBRA, 2024, 52 (10) : 4388 - 4398

← 1 2 3 4 5 →