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math.QA2019★ 2 cited
Characterization of Hopf Quasigroups
Wei Wang, Shuanhong Wang
In this paper, we first discuss some properties of the Galois linear maps. We provide some equivalent conditions for Hopf algebras and Hopf (co)quasigroups as its applications. The…
math.QA2017
New Braided -Categories over Hopf (co)quasigroups
Wei Wang, Shuanhong Wang
Let be a Hopf quasigroup with bijective antipode and let be the set of all Hopf quasigroup automorphisms of . We introduce a category ${_{H}\mathcal{YDQ}^{H}}…
math.QA2015
Constructing New Braided -Categories via Weak Monoidal Hom-Hopf Algebras
Wei Wang, Shuanhong Wang, Xiaohui Zhang
In this paper, we define and study weak monoidal Hom-Hopf algebras, which generalize both weak Hopf algebras and monoidal Hom-Hopf algebras. If is a weak monoidal Hom-Hopf alge…