Faculty Publications

Title

Behrends-Humble Simple Maps Are Regular

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

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