A note on semisymmetry
Category Theory
2016-01-13 v4
Abstract
A survey of properties of the adjunction involving a semisymmetrization functor, which was suggested by J.D.H. Smith, and which maps the category of quasigroups with homotopies to the category of semisymmetric quasigroups with homomorphisms, is given. A new semisymmetrization functor is suggested. This functor maps a quasigroup to its square instead to its cube as it was the case with the former functor.
Cite
@article{arxiv.1507.02149,
title = {A note on semisymmetry},
author = {Aleksandar Krapez and Zoran Petric},
journal= {arXiv preprint arXiv:1507.02149},
year = {2016}
}
Comments
11 pages