Jiawen Shan

collaborators

4 papers

math.RA2025

Generalized derivations of $I ¨ $ -Lie algebras

Yin Chen, Shan Ren, Jiawen Shan +1

This article explores the structure theory of compatible generalized derivations of finite-dimensional $I ¨ $ -Lie algebras over a field $K$ . We prove that any compatible qua…

math.RA2025

Poisson Yang-Baxter equations and $O$ -operators of Poisson superalgebras

Jiawen Shan, Runxuan Zhang

We investigate connections between $O$ -operators of Poisson superalgebras and skew-symmetric solutions of the Poisson Yang-Baxter equation (PYBE). We prove that a skew-s…

math.AC2024

Multiplicity of powers of path ideals of a line graph

Jiawen Shan, Zexin Wang, Dancheng Lu

Let $S = K [x_{1}, \dots, x_{n}]$ and let $I$ be the $t$ -path ideal of the line graph $L_{n}$ with $n$ -vertices. It is shown that the set of associated prime ideals of $I^{s}$ is equal to the…

math.AC2024

Regularity of powers of path ideals of line graphs

Jiawen Shan, Dancheng Lu

Let $L_{n}$ be a line graph with $n$ vertices and let $I$ be its $t$ -path ideal. It is shown that $I^{s}$ has a linear resolution for some $s \geq 1$ (or equivalently for all $s \geq 1$ )…

Generalized derivations of I¨-Lie algebras

Poisson Yang-Baxter equations and O-operators of Poisson superalgebras

Multiplicity of powers of path ideals of a line graph

Regularity of powers of path ideals of line graphs

Generalized derivations of $I ¨ $ -Lie algebras

Poisson Yang-Baxter equations and $O$ -operators of Poisson superalgebras