Weak Hopf Quasigroups

math.QA

/ Authors

J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez

/ Abstract

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.

Weak Hopf Quasigroups

math.QA

/ Authors

J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez

/ Abstract

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.