Geodesic
On left distributive left idempotent groupoids
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 1, pp. 15-20

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We study the groupoids satisfying both the left distributivity and the left idempotency laws. We show that they possess a canonical congruence admitting an idempotent groupoid as factor. This congruence gives a construction of left idempotent left distributive groupoids from left distributive idempotent groupoids and right constant groupoids.
Classification : 08A30, 20N02
Keywords: groupoids; left distributivity; left idempotency 
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     title = {On left distributive left idempotent groupoids},
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     zbl = {1106.20049},
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Jedlička, Přemysl. On left distributive left idempotent groupoids. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 1, pp. 15-20. http://geodesic.mathdoc.fr/item/CMUC_2005__46_1_a1/