4 papers
Leibniz-dendriform bialgebras and relative Rota-Baxter operators
Qinxiu Sun, Shuangjian Guo
In this paper, we introduce the notion of Leibniz-dendriform bialgebras and establish their equivalence with phase spaces and matched pairs of Leibniz algebras. The study of the co…
Anti-pre-Poisson bialgebras and relative Rota-Baxter operators
Qinxiu Sun, Min Wu
In this paper, we first introduce the notion of an anti-pre-Poisson bialgebra, which is shown to be equivalent to both quadratic anti-pre-Poisson algebras and matched pairs of Pois…
Anti-pre-Novikov algebras, quasi-triangular and factorizable anti-pre-Novikov bialgebras
Qinxiu Sun, Xingyu Zeng
Firstly, we introduce a notion of anti-pre-Novikov algebras as a new framework for decomposing Novikov algebras. Anti-O-operators on Novikov algebras are developed to provide an al…
Extending structures for anti-dendriform algebras and anti-dendriform bialgebras
Qinxiu Sun, Xingyu Zeng
In this paper, we first explore the extending structures problem by the unified product for anti-dendriform algebras. In particular,the crossed product and non-abelian extension ar…