4 papers
Reynolds Leibniz bialgebras of any weight
Tianshui Ma, Yuguang Ming, Chan Zhao
This paper studies bialgebraic structures associated with a Reynolds Leibniz algebra of weight , that is, a Leibniz algebra equipped with a Reynolds operator of weight . We f…
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…
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
Special left Alia algebras were introduced by Dzhumadil'daev in [J. Math. Sci. (N.Y.) 161(2009), 11-30] when studying the classification of algebras with skew-symmetric identity of…