Further we consider generalized Witt algebras of the form W=W(G,I) over the field F, where I is an infinite index set and G=i∈IZ=(ai)i∈I:ai=0 except for a finite number of i∈I, and prove that all 2-local derivations on W(G,I) are also derivations. Finally, we show ...
−xa, x ∈ A. Such derivationsD a are said to be inner derivations. Recall that a map ? : A → A (not linear ingeneral) is called a 2-local derivation if for every x, y ∈ A, there exists a derivationD x,y : A → A such that ?(x) = D x,y (x) and ?(y) = D ...
Derivations and 2-local derivations on the mirror Heisenberg-Virasoro algebra Using the first cohomology from the mirror Heisenberg-Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg-Virasoro algebra-module)... X Guo,L Tang 被引量: 0发表: 2023年研究...
local derivations on JBW-algebras are derivations, next, we give an example to show that the local inner derivation may not be in-ner derivation, last, we give a sufficient and necessary condition to JBW-algebras such that all local inner derivations on such JBW-algebras are inner derivations...
K. Alauatdinov, Local and 2-local derivations on noncommutative Arens algebras, Math. Slovaca (to appear), preprint available at http://arxiv.org/abs/1110.1557.S. Ayupov, K. Kudaybergenov, B. Nurjanov, A. Alauatdinov, Local and 2-local derivations on noncommutative Arens algebras, ...
The paper is devoted to 2-local derivations and 2-local automorphisms on the algebra $B(H)$ of all bounded linear operators on a Hilbert space $H.$ We prove that every 2-local derivation on $B(H)$ is a derivation. A similar result is obtained for automorphisms.关键词: Derivation Autom...
We prove that every {m(}not necessarily linear nor continuous{m)} 2-localtriple derivation on a von Neumann algebra $M$ is a triple derivation,equivalently, the set Der$_{t} (M)$, of all triple derivations on $M,$ isalgebraically 2-reflexive in the set $\\\mathcal{M}(M)= M^M...
2-Localφ-derivations on certain CSL algebras 某些CSL代数上的2-局部φ-导子 2. Generalized (θ, Φ)-Derivations in Prime and Semiprime Rings 素环和半素环中的广义(θ,Φ)-导子 3. (h,φ)-directional Derivative and(h,φ)-subgradient; (h,φ)-方向导数与(h,φ)-次梯度 4. The Local...
We also prove several results representing derivations onC0(L,B(H))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{...
关键词：Witt 代数；导子；2-局部导子 中图分类号：O 151.26 文献标志码：A 文章编号：10()8-9497(2()21)02-174-()6YAO Yufeng, WANG Hui ( College of A rts and Sciences , Shanghai Maritime University Shanghai 201306, China) 2-local derivations of the Witt ...