4 papers
Symmetric Rota-Baxter systems and applications
Chan Zhao, Haiying Li, Tianshui Ma
Rota-Baxter operators and bialgebras are closely connected in several applications, such as the Connes-Kreimer renormalization framework and the operator approach to the classical…
Nijenhuis pre-Lie bialgebras, Nijenhuis Lie bialgebras and \sss-equation
Li Guo, Tianshui Ma
We develop a bialgebraic framework for Nijenhuis operators on pre-Lie algebras and coalgebras. Starting from dual triangular pre-Lie bialgebras and weak pseudo-Hessian structures,…
Classification of three-dimensional Nijenhuis Leibniz algebras
Tianshui Ma, Chan Zhao
There are thirteen types of three-dimensional Leibniz algebras over the real field based on the classification given by S. Ayupov, B. Omirov and I. Rakhimov in [Leibni…
Bialgebras induced by special left Alia algebras
Tianshui Ma, Chan Zhao, Huihui Zheng
This paper investigates bialgebraic structures associated with special left-Alia algebras. Based on the special left-Alia algebras originally introduced in the study of algebras wi…