FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 5, PAGES 237-251

On congruences of groupoids closely connected with quasigroups

V. A. Shcherbacov
A. Kh. Tabarov
D. I. Pușcașu

Abstract

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Conditions when a congruence of a left (right) division groupoid and a left (right) cancellation groupoid is closed ("normal") are given. Conditions for the simplicity of the above-mentioned groupoids are obtained.

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