Hopf Quasimodules and Yetter-Drinfeld Modules over Hopf Quasigroups
Sign Up to like & getrecommendations! Published in 2021 at "Algebra Colloquium"
DOI: 10.1142/s1005386721000183
Abstract: We introduce the notions of a four-angle Hopf quasimodule and an adjoint quasiaction over a Hopf quasigroup H in a symmetric monoidal category C. If H possesses an adjoint quasiaction, we show that... read more here.
Keywords: hopf quasigroups; quasimodules yetter; hopf quasimodules; drinfeld modules ... See more keywords
Natural transformations for quasigroupoids
Sign Up to like & getrecommendations! Published in 2023 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2023-2025
Abstract: Abstract In this paper, we introduce the notions of natural transformation between morphisms of quasigroupoids and between morphisms of weak Hopf quasigroups. Also, we prove that natural transformations between morphisms of finite quasigroupoids come from… read more here.
Keywords: weak hopf; transformations quasigroupoids; natural transformation; hopf quasigroups ... See more keywords
Quasigroups, Braided Hopf (Co)quasigroups and Radford’s Biproducts of Quasi-Diagonal Type
Sign Up to like & getrecommendations! Published in 2024 at "Mathematics"
DOI: 10.3390/math12213384
Abstract: Given the Yetter–Drinfeld category over any quasigroup and a braided Hopf coquasigroup in this category, we first mainly study the Radford’s biproduct corresponding to this braided Hopf coquasigroup. Then, we investigate Sweedler’s duality of this… read more here.
Keywords: braided hopf; radford; quasigroups braided; hopf quasigroups ... See more keywords