导子

设R是一个分配素近环，如果R容纳一个非平凡导子或者自同构，则R是交换的。

Let N be a distributive prime near - ring , if N admits a nontrivial derivation or automorphism , then R is commutative .

其次给出了W的导子代数，证明了它只有一个外导子；

Secondly , the derivation algebra of W is determined and it is proved that W has only one outer derivation .

特征2李代数G2变形的导子代数

Derivation Algebras of Variations of Lie Algebra G_2 in Characteristic 2

n元微分算子代数的导子李代数

Lie Algebra of Derivations of algebras of differential operators in n - variables

Loop代数的有限维不可约模的导子

The Derivations of the Finite Dimensional Irreducible Modules over the Loop Algebras

设A是域F上的有限维素代数，，是A上的导子。

Let A be prime algebra of finite dimensions over field F.

仅有内导子的J-可换Lie代数

J-Comm Lie Algebras with Only Inner Derivations

拟Q5-filiform李代数的导子代数

Derivation Algebra of Quasi Q_5-filiform Lie Algebra

交换环上Cn型李代数的标准Borel子代数的导子

Derivations of the Standard Borel Subalgebra of Lie Algebra of Type C_n over a Commutative Ring

半素环上Jordan（α，α）-导子的性质

Properties of Jordan (α,α) - derivations on semiprime rings

自伴算子的Jordan代数上的双Jordan导子

Bi-Jordan Derivations on Jordan Algebras of Selfadjoint Operators

Banach代数上双Jordan导子的稳定性

Stability of Bi-Jordan Derivations on Banach Algebra

Banach代数上的T-模导子与T-理想

T-Module Derivations and T-Ideals on Banach Algebras

三角代数上的广义Jordan导子

Generalized Jordan Derivations of Triangular Algebras

一维中心的拟L5，Q5-filiform李代数的导子代数

Derivation Algebra of Quasi L_5 , Q_5-filiform Lie Algebras with One-Dimensional Center

Z2上5维3-Lie代数的内导子Lie代数

Inner Derivation Algebras of 5-Dimensional 3-Lie Algebras over Z_2

设N是中心为Z的素近环，I是N的右理想，D是N上的非平凡导子。

Let N be a prime near - ring with center Z , I a right ideal of N , D a non - trival derivations of N.

Toeplitz矩阵环的自同构和导子

Automorphisms and Derivations of Toeplitz Matrix Rings

阶化平移Toroidal李代数L4的导子和泛中心扩张

The Derivations and Universal Central Extension of Gradation Shifting Toroidal Lie Algebra L_4

某些CSL代数上的2-局部φ-导子

2-Local φ - derivations on certain CSL algebras

对于算子代数的Lie结构（如Lie理想、Lie导子、Lie同构等）的研究人们一直在进行着，这是因为它对于全面揭示各种算子代数的结构具有重要的意义。

Many people have been studying the Lie structure ( Lie ideals , Lie derivations , Lie isomorphism ) because it is very important to reveal the structure of various operator algebras .

Digraph代数上的2-局部导子

2-Local Derivations on Digraph Algebras

第四章研究了一类CSL代数上的Jordan导子和digraph代数上的2-局部导子。

In chapter 4 , we discuss the Jordan derivations on certain reflexive operator algebras and the 2-local derivations on digraph algebras .

Virasoro代数到中间序列模的导子

The Derivations of Modules of the Intermediate Series over the Virasoro Algebra

本文研究Z2域上一类5-维3-李代数的导子代数的结构。

It studied the structure of derivation algebras of a class of 5 dimensional 3-Lie algebras .

本文引进Banach代数上的T-摸导子的概念，利用T-模导子构连了Banach代数的两个闭双边理想&T-理想，并得到了T-理想的一个特征性质。

In this paper , we introduce the T-module derivation on a Banach algebra and structured T-ideal s of a Banach algebra using the T-module derivation We obtained a property for the T-ideal .

本文证明了：Banach空间上完全分配格代数间的导子都是自动连续的；

In this paper , we prove that every derivation of completely distributive subspace lattice algebra on Banach spaces is continuous , and obtain that additive derivations of nest algebras on Banach spaces are inner .

第一节我们介绍了导子，内导子，局部导子，广义导子，2-局部导子，因子vonNeumann代数，套代数等概念。第二节主要给出一些熟知的定理。

We give some technologies and notations , and introduce the definitions of derivations , inner derivations , local derivations , generalized derivations , 2 - local derivations , factor von Neumann algebras , nest algebras and so on .

本文推广Kadison关于局部导子的一个定理并给出十分简单的证明。

This paper generalize a local derivation result of Kadison with a very simple proof .

本文研究以Banach代数A上的幂级数拓扑代数A[[X]]及A上的幂级数Banach代数фA为定义域的导子的自动连续性，同时也给出了有关导子的一般形式。

The purpose of this paper is to study the automatic continuity of derivations from the topological algebra A [ [ X ] ] of power series and the Banach algebra ф _A of power series over a Banach algebra A. We also obtain the standard forms of the derivations .