4 citations · 5 across the 8 of their papers we have counts for
8 papers
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…
Non-trivially graded self-dual fusion categories of rank
Jingcheng Dong, Liangyun Zhang, Li Dai
Let be a self-dual spherical fusion categories of rank with non-trivial grading. We complete the classification of Grothendieck ring of $\mathcal…
Hopf-Galois extensions for monoidal Hom-Hopf algebras
Yuanyuan Chen, Liangyun Zhang
We investigate the theory of Hopf-Galois extensions for monoidal Hom-Hopf algebras. As the main result of this paper, we prove the Schneider's affineness theorems in the case of mo…
On Hopf monoids in duoidal categories
Gabriella Böhm, Yuanyuan Chen, Liangyun Zhang
Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if…