6 papers
Weierstrass semigroups at totally ramified places of degree one on Kummer extensions
Huachao Zhang, Chang-An Zhao
We explicitly describe the set of gaps and the Weierstrass semigroup at a totally ramified place of degree one on a Kummer extension defined by the affine equation ove…
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
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…
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…