Dingguo Wang

collaborators

3 papers

math.RA2025

Fundamental theorem of transposed Poisson $(A, H)$ -Hopf modules

Yan Ning, Daowei Lu, Dingguo Wang

Transposed Poisson algebra was introduced as a dual notion of the Poisson algebra by switching the roles played by the commutative associative operation and Lie operation in the Le…

math.RA2025

Constructions of Rota-Baxter operators by L-R smash products

Daowei Lu, Dingguo Wang

Let $A$ and $H$ be two cocommutative Hopf algebras such that $A$ is an $H$ -bimodule Hopf algebra. Suppose that $R : A \to A$ is a linear map and $B$ is a Rota-Baxter operator…

math.RA2024

Poisson Hopf module Fundamental theorem for Hopf group coalgebras

Daowei Lu, Dingguo Wang

Let $H$ be a Hopf group coalgebra with a bijective antipode and $A$ an $H$ -comodule Poisson algebra. In this paper, we mainly generalize the fundamental theorem of Poisson Hopf mod…

Fundamental theorem of transposed Poisson (A,H)-Hopf modules

Constructions of Rota-Baxter operators by L-R smash products

Poisson Hopf module Fundamental theorem for Hopf group coalgebras

Fundamental theorem of transposed Poisson $(A, H)$ -Hopf modules