English

The Dimension of One-step Idempotent Right Modular Quasigroups

Rings and Algebras 2016-06-28 v1

Abstract

We prove that one-step idempotent right modular groupoids are quasigroups. The dimension of such quasigroups is defined and all such quasigroups of dimensions 2,3 and 4 are determined.

Keywords

Cite

@article{arxiv.1606.07893,
  title  = {The Dimension of One-step Idempotent Right Modular Quasigroups},
  author = {R. A. R. Monzo},
  journal= {arXiv preprint arXiv:1606.07893},
  year   = {2016}
}

Comments

16 pages and 11 Cayley tables