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math.RA2019
Matched pairs of -invertible Hopf quasigroups
M. Hassanzadeh, S. Sütlü
The matched pair theory (of groups) is studied for a class of quasigroups; namely, the -inverse property loops. The theory is upgraded to the Hopf level, and the "-invertible…
math.RA2018
On Antipodes Of Hom-Hopf algebras
Mohammad Hassanzadeh
In the recent definition of Hom-Hopf algebras the antipode S is the relative Hominverse of the identity map with respect to the convolution product. We observe that some fundamenta…