Weak Hopf Quasigroups
  In this paper we introduce the notion of weak Hopf quasigroup as a generalization of weak Hopf algebras and Hopf quasigroups. We obtain its main properties and we prove the fundamental theorem of Hopf modules for these algebraic structures. 
J.N. Alonso \'Alvarez, J.M. Fern\'andez Vilaboa, R. Gonz\'alez   Rodr\'iguez
math.QA math.CT