Behrends-Humble Simple Maps Are Regular

Authors

Lon Mitchell, University of South Florida St. PetersburgFollow

SelectedWorks Author Profiles:

Lon Mitchell

Document Type

Article

Publication Date

2017

ISSN

1561-2848

Abstract

We consider simple binary operations in the sense of Behrends and Humble. We prove that a groupoid (magma) with such a map is regular. As a consequence, a division groupoid with simple binary operation is a quasigroup.

Publisher

National Bibliometric Instrument

Recommended Citation

Mitchell, L. (2017). Behrends-Humble simple maps are regular, Quasigroups Related Systems 25(2), 289-290. https://ibn.idsi.md/ro/vizualizare_articol/69345.