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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...
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Keywords:
hopf quasigroups;
quasimodules yetter;
hopf quasimodules;
drinfeld modules ... See more keywords
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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…
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Keywords:
weak hopf;
transformations quasigroupoids;
natural transformation;
hopf quasigroups ... See more keywords