Dingguo Wang

collaborators

3 papers

math.RA2025

Fundamental theorem of Poisson 3-Lie $(A, H)$ -Hopf modules

Daowei Lu, Dingguo Wang

Let $H$ be a Hopf algebra with a bijective antipode and $A$ an $H$ -comodule Poisson 3-Lie algebra. Assume that there exists an $H$ -colinear map which is also an algebra map from $H…

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…

Fundamental theorem of Poisson 3-Lie (A,H)-Hopf modules

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

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

Fundamental theorem of Poisson 3-Lie $(A, H)$ -Hopf modules

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