5 papers
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…
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…