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