2 papers
math.RA2025
Fundamental theorem of transposed Poisson -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
Post-Hopf group algebras, Hopf group braces and Rota-Baxter operators on Hopf group algebras
Yan Ning, Xing Wang, Daowei Lu
In this paper, we introduce the notions of Hopf group braces, post-Hopf group algebras and Rota-Baxter Hopf group algebras as important generalizations of Hopf brace, post Hopf alg…