The present paper is devoted to studying local derivations on the Lie algebra $W(2,2)$ which has some outer derivations. Using some linear algebra methods in \\cite{CZZ} and a key construction for $W(2,2)$ we prove that every local derivation on $W(2, 2)$ is a derivation. As ...
This paper aims to study the local derivations, 2-local automorphisms and local automorphisms on the super-Virasoro algebras. The primary focus is to establish that every local derivation of the super-Virasoro algebras is indeed a derivation, and to demonstrate that every local or 2-local automorp...
GENERALIZED DERIVATIONS AND LOCAL GENERALIZED DERIVATIONS OF STANDARD OPERATOR ALGEBRAS 来自 知网 喜欢 0 阅读量: 62 作者: W Jing 摘要: Let A be a standard operator algebra in Banach space X , it is proved that every generalized derivation of A into B(X) is a generalized inner derivation...
W Huang,J Li,W Qian 被引量: 1发表: 2016年 2-Local derivations on matrix rings over associative rings In the present paper it is proved that every inner 2-local derivation on the matrix ring $M_n(\\\Re)$ of $nimes n$ matrices over a commutative associative... S Ayupov,F Arziku...
The present paper is devoted to study 2-local derivations on W-algebra $W(2,2)$ which is an infinite-dimensional Lie algebras with some out derivations. We prove that all 2-local derivations on the W-algebra $W(2,2)$ are derivation. We also give a complete classification of the 2-...
Lie superalgebra of Block type2-local superderivationssuperderivations17B0517B4017B65In this paper, we study 2-local superderivations on the Lie superalgebra of Block type S ( q ), which is an infinite dimensional Lie superalgebra with an outer derivation. We prove that all 2-local super...
We also characterize local and 2-local Lie derivations on some algebras such as von Neumann algebras, nest algebras, the Jiang–Su algebra, and UHF algebras.J. HeDepartment of MathematicsJ. LiDepartment of MathematicsG. AnDepartment of MathematicsW. Huang...
Local superderivations of Lie superalgebra osp(1, 2) to all simple modulesdoi:10.3934/math.20241103Shiqi ZhaoWende LiuShujuan WangAIMS Mathematics
Let \\(\\mathfrak{q}\\) ( n ) be a simple strange Lie superalgebra over the complex field ℂ. In a paper by A.Ayupov, K.Kudaybergenov (2016), the authors studied the local derivations on semi-simple Lie algebras over ℂ and showed the difference between the properties of ...
Lie superalgebradeformative super W-algebrassuperderivation2-Local superderivation17B4017B6517B68The present article is devoted to studying 2-Local superderivations on the deformative super W -algebras (2,2). It is proved that all 2-Local superderivations on the deformative super W -algebras (...