Behrends-Humble simple maps are regular
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2021-02-03 08:45
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512.548 (79)
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LON, Mitchell. Behrends-Humble simple maps are regular. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 2(37), pp. 289-290. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848

Behrends-Humble simple maps are regular

CZU: 512.548
MSC 2010: 20N02

Pag. 289-290

Lon Mitchell
 
American Mathematical Society
 
 
Disponibil în IBN: 16 decembrie 2018


Rezumat

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.

Cuvinte-cheie
Simplebinaryop eration, group oid