3 papers
math.RA2026
Construction of diassociative bialgebras from antisymmetric infinitesimal bialgebras and related algebra structures
Bo Hou, Ru Li
There is a diassociative algebra structure on the tensor product of an associative algebra and a perm algebra. In this paper, we elevate this conclusion to the level of bialgebra.W…
math.RA2026
Leibniz bialgebras constructed by tensor product from Lie bialgebras and perm bialgebras
Bo Hou, Ru Li
The construction problem of Leibniz bialgebras from Lie bialgebras and perm bialgebras is considered in this paper. We show that there is a Leibniz algebra structure on the tensor…
math.RA2026
Quasi-triangular dual pre-Poisson bialgebras and its connection with Poisson bialgebras
Bo Hou, Ru Li
In this paper, the notions of quasi-triangular and factorizable dual pre-Poisson bialgebras are introduced. A factorizable dual pre-Poisson bialgebra induces a factorization of the…