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math.RA2023
Ore Extension of Group-cograded Hopf Coquasigroups
Lingli Zhu, Bingbing Jin, Huili Liu +1
The aim of this paper is the Ore extension of group-cograded Hopf coquasigroups. This paper first shows a categorical interpretation and some examples of group-cograded Hopf coquas…
math.RA2022
Braided crossed category over crossed group-cograded weak Hopf quasigroups
Huili Liu, Lingli Zhu, Tao Yang
In this paper, we generalizing the main result in Liu[10] to weak Hopf coquasigroups case. We first define and study group-cograded weak Hopf quasigroups, which generalize both gro…
math.RA2021
Yetter-Drinfeld modules for group-cograded Hopf quasigroups
Huili Liu, Tao Yang, Lingli Zhu
Let be a crossed group-cograded Hopf quasigroup. We first introduce the notion of -Yetter-Drinfeld quasimodule over . If the antipode of is bijective, we show that th…