Weak Hopf Quasigroups

2014/10/08 by J. N. Alonso Álvarez, Álvarez, J. N. Alonso, J. M. Fernández Vilaboa +3 · 3 citations
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CT #math.QA

paper · pdf · doi:10.48550/arxiv.1410.2180

arxiv created 2014/10/08 · arxiv updated 2014/10/09

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.

Cited by

• Cleft and Galois extensions associated to a weak Hopf quasigroup
• Strong Hopf modules for weak Hopf quasigroups
• A characterization of weak Hopf (co)quasigroups

Related

• A characterization of weak Hopf (co)quasigroups
• Hopf modules and the fundamental theorem for Hopf (co)quasigroups
• Strong Hopf modules for weak Hopf quasigroups
• Fundamental theorems of Doi-Hopf modules in a nonassociative setting
• Cleft and Galois extensions associated to a weak Hopf quasigroup