Matched pairs of $m$-invertible Hopf quasigroups

Abstract

The matched pair theory (of groups) is studied for a class of quasigroups; namely, the $m$-inverse property loops. The theory is upgraded to the Hopf level, and the "$m$-invertible Hopf quasigroups" are introduced.

References in corpus (1)

• Sylow's theorem for Moufang loops