Fundamental theorems of Doi-Hopf modules in a nonassociative setting
Category Theory
2018-03-12 v2 Quantum Algebra
Rings and Algebras
Abstract
In this paper we introduce the notion of weak non-asssociative Doi-Hopf module and give the Fundamental Theorem of Hopf modules in this setting. Also we prove that there exists a categorical equivalence that admits as particular instances the ones constructed in the literature for Hopf algebras, weak Hopf algebras, Hopf quasigroups, and weak Hopf quasigroups.
Keywords
Cite
@article{arxiv.1703.03229,
title = {Fundamental theorems of Doi-Hopf modules in a nonassociative setting},
author = {J. N. Alonso Álvarez and J. M. Fernández Vilaboa and R. González Rodríguez},
journal= {arXiv preprint arXiv:1703.03229},
year = {2018}
}