Characterization of Lie biderivations on triangular rings

被引：3
作者：
Alghazzawi, Dilshad [1 ]
Jabeen, Aisha [2 ]
Raza, Mohd Arif [1 ]
Al-Sobhi, Tahani [1 ]
机构：
[1] King Abdulaziz Univ, Coll Sci & Arts Rabigh, Dept Math, Jeddah, Saudi Arabia
[2] Jamia Millia Islamia, Dept Appl Sci & Humanities, New Delhi, India
来源：
COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 10期
关键词：
Biderivation; Lie derivation; triangular ring; MAPS;
D O I：
10.1080/00927872.2023.2209809
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study Lie biderivations on triangular ring under certain restrictions and prove that every Lie bideritvation can be written as a sum of an extremal biderivation, an inner biderivation and a central map vanishing at commutators. As an application, we study Lie biderivations on upper triangular matrix ring.
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页码：4400 / 4408
页数：9
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