Huihui Zheng
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Author Swipe
View article: Hopf π-braces and related algebraic structures
Hopf π-braces and related algebraic structures Open
In this paper, (weak) Hopf π-braces are introduced, which can be seen as an extension of Hopf braces and Hopf π-algebras. A construction of Hopf π-braces from the Radford biproduct Hopf π-algebra is provided. The relation between a bijecti…
View article: Hopf heap and Hopf heap module
Hopf heap and Hopf heap module Open
In this paper, we firstly give some results and properties of Hopf heaps. In addition, we get a equivalent definition of a Hopf truess by a Hopf heap. Using this equivalence definition, we construct some examples of Hopf trusses by Hopf he…
View article: Therapeutic efficacy of sulforaphane in autism spectrum disorders and its association with gut microbiota: animal model and human longitudinal studies
Therapeutic efficacy of sulforaphane in autism spectrum disorders and its association with gut microbiota: animal model and human longitudinal studies Open
Introduction Sulforaphane (SFN) has been found to alleviate complications linked with several diseases by regulating gut microbiota (GM), while the effect of GM on SFN for autism spectrum disorders (ASD) has not been studied. Therefore, th…
View article: Some algebraic structures about Nijenhuis operators
Some algebraic structures about Nijenhuis operators Open
In this paper, we aim to study the basic properties of Nijenhuis operators on coalgebras and present three algebraic structures: Nijenhuis admissible coassociative Yang-Baxter equations (cYBes for short), Nijenhuis 2-cycles and admissible …
View article: On infinitesimal Hom-H-pseudobialgebras
On infinitesimal Hom-H-pseudobialgebras Open
The Hom-version of Lie H-pseudobialgebra was introduced in [21]. In this paper, we investigate infinitesimal Hom-H-pseudobialgebra, which is the Hom-associative analog of Hom-Lie Hpseudobialgebra. We first provide some examples of this new…
View article: Alcohol Dehydrogenase Protein in Akkermansia Muciniphila Facilitates Alcohol Metabolism that Ameliorates Alcohol Induced Liver Dysfunction and Drunk Behaviors
Alcohol Dehydrogenase Protein in Akkermansia Muciniphila Facilitates Alcohol Metabolism that Ameliorates Alcohol Induced Liver Dysfunction and Drunk Behaviors Open
View article: Rota-Baxter operators on cocommutative Hopf algebras and Hopf braces
Rota-Baxter operators on cocommutative Hopf algebras and Hopf braces Open
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 cocommutative Hopf braces into Rota-Baxter Hopf algebras. Through …
View article: Formal deformations of associative and Lie H-pseudoalgebras
Formal deformations of associative and Lie H-pseudoalgebras Open
View article: Rota–Baxter paired comodules and Rota–Baxter paired Hopf modules
Rota–Baxter paired comodules and Rota–Baxter paired Hopf modules Open
We introduce the concept of Rota–Baxter paired comodules, which is dual to Rota–Baxter paired modules defined by Zheng et al. (2020). We discuss some properties of Rota–Baxter paired comodules, in particular we give a characterization of g…
View article: THE STRUCTURE THEOREM OF HOM-HOPF BIMODULES AND ITS APPLICATIONS
THE STRUCTURE THEOREM OF HOM-HOPF BIMODULES AND ITS APPLICATIONS Open
In this paper, we give the structure theorem of Hom-Hopf bimodules. Furthermore, we give the structure theorem of Hom-comodule algebras. Finally, we consider and study the structure theorems of Hom-Hopf bicomodules and Hom-module coalgebra…
View article: Rota-Bater paried comodule and Rota-Bater paired Hopf module
Rota-Bater paried comodule and Rota-Bater paired Hopf module Open
In this paper, we introduce the conception of Rota-Baxter paired comodules, which is dual to Rota-Baxter paired modules in [14]. We mainly discuss some properties of Rota-Baxter paired comodules, especially we give the characterization of …
View article: Hopf-Galois algebras and their Poisson structures
Hopf-Galois algebras and their Poisson structures Open
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 are natural generalizations of Hopf algebras with a Galois-th…
View article: Equivalent crossed products of monoidal Hom-Hopf algebras
Equivalent crossed products of monoidal Hom-Hopf algebras Open
In this paper, we give a Maschke-type theorem for a Hom-crossed product on a finite dimensional monoidal Hom-Hopf algebra, and investigate a sufficient and necessary condition for two Hom-crossed products to be equivalent.Furthermore, we c…
View article: Hopf brace, braid equation and bicrossed coproduct
Hopf brace, braid equation and bicrossed coproduct Open
In this paper, we mainly give some equivalent characterisations of Hopf braces, show that the category $\mathcal{CB}(A)$ of Hopf braces is equivalent to the category $\mathcal{C}(A)$ of bijective 1-cocycles, and prove that the category $\m…
View article: Investigation and Measurement Analysis of Campus Noise Pollution Based on a University in Hengyang
Investigation and Measurement Analysis of Campus Noise Pollution Based on a University in Hengyang Open
In view of the increasingly serious problem of noise pollution in students’ life and study in the process of building campus culture, this paper analyzed the acoustic environment and acoustic comfort of a college in Hengyang by means of qu…
View article: Rota-Baxter Leibniz Algebras and Their Constructions
Rota-Baxter Leibniz Algebras and Their Constructions Open
In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characterizations of Rota-Baxter Leibniz algebras. And we construct a number of Rota-Baxter Leibniz algebras from Leibniz algebras and associative alge…
View article: Common fixed point theorems for two pairs of self-mappings in partial metric space using C-class functions on (ψ,φ)-contractive condition
Common fixed point theorems for two pairs of self-mappings in partial metric space using C-class functions on (ψ,φ)-contractive condition Open
The purpose of this paper is to introduce common fixed point results for two pairs of weakly compatible self-mappings in
\npartial metric space using C-class functions on (ψ, ϕ)-contractive condition. Example and application on integral eq…
View article: Rota-Baxter paired modules and their constructions from Hopf algebras
Rota-Baxter paired modules and their constructions from Hopf algebras Open
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 Rota-Baxter paired modules, and give some basic properties o…
View article: Some results of common fixed point for four self-maps satisfying a new Ψ -contractive condition in partial metric spaces
Some results of common fixed point for four self-maps satisfying a new Ψ -contractive condition in partial metric spaces Open
In this paper, we prove some common fixed point theorems for two pairs of weakly compatible selfmaps satisfying a new ψ-contractive condition in the framework of a partial metric space.We also provide illustrative examples in support of ou…