On the speciality of Tortkara algebras

The algebraic classification of nilpotent Tortkara algebras

We classify all $6$-dimensional nilpotent Tortkara algebras over $\mathbb C.$

The geometric classification of nilpotent Tortkara algebras

We give a geometric classification of all $6$-dimensional nilpotent Tortkara algebras over $\mathbb C$

The classification of $n$-dimensional nilpotent non-Tortkara anticommutative algebras with $(n-4)$-dimensional annihilator

In this paper, we give a complete classification of $n$-dimensional nilpotent non-Tortkara anticommutative algebras with $(n-4)$-dimensional annihilator over $\mathbb{C}$.

关于tortkara三元系

On tortkara triple systems

本文研究自由Zinbiel代数中的tortkara三元积，通过计算机代数构造五元运算下的关系TT(a,b,c,d,e)，证明对应三元系由二次三元operad定义，还发现七元运算下的新关系，提出更高元数是否存在新恒等式的开放问题。

Akivis Superalgebras and speciality

In this paper we define Akivis superalgebra and study enveloping superalgebras for this class of algebras, proving an analogous of the PBW Theorem. Lie and Malcev superalgebras are examples of Akivis superalgebras. For these particular superalgebras, we describe the connection between the classical enveloping superalgebras and the corresponding generalized concept defined in this work.

非结合代数的几何分类：综述

The geometric classification of non-associative algebras: a survey

本文综述了幂零、Lie、Jordan等多种非结合代数簇（含$n$元代数、超代数、Poisson型代数）的几何分类研究，并涵盖了退化水平分类，系统梳理该领域成果。