Factorizations of Hopf quasigroups
Abstract
In this paper we introduce the notion of factorization in the Hopf quasigroup setting and we prove that, if A and H are Hopf quasigroups such that their antipodes are isomorphisms, a Hopf quasigroup X admits a factorization as X=AH iff X is isomorphic to a double cross product A H as Hopf quasigroups.
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