English

On prolongations of quasigroups

Group Theory 2015-01-27 v1 Combinatorics

Abstract

We prove that any quasigroup admissing complete or quasicomplete mapping has a prolongation to a quasigroup having one element more.

Keywords

Cite

@article{arxiv.0902.3812,
  title  = {On prolongations of quasigroups},
  author = {Ivan I. Deriyenko and Wieslaw A. Dudek},
  journal= {arXiv preprint arXiv:0902.3812},
  year   = {2015}
}

Comments

12 pages

R2 v1 2026-06-21T12:14:16.358Z