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.
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 
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/
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     title = {On left distributive left idempotent groupoids},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {15--20},
     year = {2005},
     volume = {46},
     number = {1},
     mrnumber = {2175855},
     zbl = {1106.20049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2005_46_1_a1/}
}
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