3 papers
math.RA2022
Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets
Kaiqiang Zhang, Xiankun Du
Set-theoretic solutions to the Yang-Baxter equation have been studied extensively by means of related algebraic systems such as cycle sets and braces, dynamical versions of which h…
math.AC2021
Images of Linear Derivations and Linear E-derivations of K[x 1 ,x 2 ,x 3 ]
Haifeng Tian, Xiankun Du, Hongyu Jia
Let K be a field of characteristic zero. We prove that images of a linear K-derivation and a linear K-E-derivation of the ring K[x 1 ,x 2 ,x 3 ] of polynomial in three variables ov…
math.RA2018
Adjoint cohomology of two-step nilpotent Lie superalgebras
Wende Liu, Yong Yang, Xiankun Du
In this paper, we study the cup products and Betti numbers over cohomology superspaces of two-step nilpotent Lie superalgebras with coefficients in the adjoint modules over an alge…