English

Integral Dual of some infinite dimensional Hopf quasigroups

Rings and Algebras 2020-08-18 v1

Abstract

For an infinite dimensional Hopf quasigroup, if the faithful integral exists, then it is unique up to scalar. Base on the faithful integrals, we construct the integral dual of a class of infinite dimensional Hopf quasigroups, and show that the integral dual has a similar structure to Hopf coquasigroup, which is a regular multiplier Hopf coquasigroup with a faithful integral.

Keywords

Cite

@article{arxiv.2008.07199,
  title  = {Integral Dual of some infinite dimensional Hopf quasigroups},
  author = {Tao Yang},
  journal= {arXiv preprint arXiv:2008.07199},
  year   = {2020}
}

Comments

16 pages