Q-graded Hopf quasigroups
Rings and Algebras
2019-03-20 v2 Group Theory
Abstract
Firstly, we introduce a class of new algebraic systems which generalize Hopf quasigroups and Hopf algebras called -graded Hopf quasigroups, and research some properties of them. Secondly, we define the representations of -graded Hopf quasigroups, i.e -graded Hopf quasimodules, research the construction method and fundamental theorem of them. Thirdly, we research the smash products of -graded Hopf quasigroups.
Keywords
Cite
@article{arxiv.1812.07321,
title = {Q-graded Hopf quasigroups},
author = {Guodong Shi and Shuanhong Wang},
journal= {arXiv preprint arXiv:1812.07321},
year = {2019}
}
Comments
$Q$-graded Hopf quasigroups; $Q$-graded Hopf quasimodules; Smash products