1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
Rota-Baxter operators on cocommutative Hopf algebras and Hopf braces
Huihui Zheng, Li Guo, Tianshui Ma +1
This paper studies the relationship of Rota-Baxter operators on cocommutative Hopf algebras with Hopf braces and the Yang-Baxter equation, with emphasis on the embedding of cocommu…
Hopf-Galois algebras and their Poisson structures
Huihui Zheng, Liangyun Zhang
As is known to all, Hopf-Galois objects have a significant research value for analyzing tensor categories of comodules and classification questions of pointed Hopf algebras, and ar…
Hopf brace, braid equation and bicrossed coproduct
Huihui Zheng, Fangshu Li, Tianshui Ma +1
In this paper, we mainly give some equivalent characterisations of Hopf braces, show that the category of Hopf braces is equivalent to the category $\mathcal{C}(A…
Rota-Baxter paired modules and their constructions from Hopf algebras
Huihui Zheng, Li Guo, Liangyun Zhang
In this paper, we introduce the concept of a Rota-Baxter paired module to study Rota-Baxter modules without necessarily a Rota-Baxter operator. We obtain two characterizations of R…