A characterization of weak Hopf (co)quasigroups
Quantum Algebra
2015-06-26 v1
Abstract
In this paper we show that weak Hopf (co)quasigroups can be characterized by a Galois-type condition. Taking into account that this notion generalizes the ones of Hopf (co)quasigroup and weak Hopf algebra, we obtain as a consequence the first fundamental theorem for Hopf (co)quasigroups and a characterization of weak Hopf algebras in terms of bijectivity of a Galois-type morphism (also called fusion morphism).
Keywords
Cite
@article{arxiv.1506.07664,
title = {A characterization of weak Hopf (co)quasigroups},
author = {J. N. Alonso Álvarez and J. M. Fernández Vilaboa and R. González Rodríguez},
journal= {arXiv preprint arXiv:1506.07664},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1410.2180