Generalized derivations, quasiderivations and centroids of ternary Jordan algebras

四维三元李代数的分类与（准）中心

Classification and (Quasi)-Centroids of Four-Dimensional Ternary Leibniz Algebras

本文对四维三元李代数进行分类，并计算其中心和准中心的维度，扩展了经典结果到三元情况。

Generalized derivations of Hom-Jordan algebras

In this paper, we give some properties of generalized derivation algebras of Hom-Jordan algebras. In particular, we show that $GDer(V) = QDer(V) + QC(V)$, the sum of the quasiderivation algebra and the quasicentroid. We also prove that $QDer(V)$ can be embedded as derivations into a larger Hom-Jordan algebra. General results on centroids of Hom-Jordan algebras are also developed in this paper.

Generalized derivations of n-Hom Lie superalgebras

It is well known that n-Hom Lie superalgebras are certain generalizations of n-Lie algebras. This paper is devoted to investigate the generalized derivations of multiplicative n-Hom Lie superalgebras. We generalize the main results of Leger and Luks to the case of multiplicative n-Hom Lie superalgebras. Firstly, we review some concepts associated with a multiplicative n-Hom Lie superalgebra $N$. Furthermore, we give the definitions of the generalized derivations, quasiderivations, center derivations, centroids and quasicentroids. Obviously, we have the following tower $ZDer(N)\subseteq Der(N)\…

关于相容三元Leibniz代数的一些结果

Some results on compatible ternary Leibniz algebras

本文引入相容三元Leibniz代数与（对偶）Nijenhuis对，研究特定算子在向三元Leibniz代数过渡时的不变性，并给出基于平均算子、模或O-算子的构造方法。

关于相容三元 Leibniz 代数上若干算子的分类

Classification of some operators on compatible ternary Leibniz algebras

本文研究相容三元 Leibniz 代数上的若干算子，建立其基本性质，并给出三元及相容三元 Leibniz 代数的分类，进而描述分类元素上的算子。

复 $ω$-李超代数的广义导子

Generalized derivations of Complex $ω$-Lie Superalgebras

本文研究了有限维复 $ω$-李超代数的广义导子结构，证明了相容广义导子的分解定理与嵌入定理，并显式计算了3维情形下各类导子代数及其元素的 Jordan 标准型。