5 papers · 1 filter
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…
Hopf heap modules, Rota-Baxter operators, and their structure theorems
Huihui Zheng, Chan Zhao, Liangyun Zhang
This paper is primarily devoted to the study of Hopf heaps and Hopf heap modules. We redefine the structure of Hopf trusses by means of Hopf heaps, establish the connection between…