Geodesic
Subdirectly irreducible non-idempotent left symmetric left distributive groupoids
Discussiones Mathematicae. General Algebra and Applications, Tome 25 (2005) no. 2, pp. 235-257

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We study groupoids satisfying the identities x·xy = y and x·yz = xy·xz. Particularly, we focus our attention at subdirectlyirreducible ones, find a description and charecterize small ones.
Keywords: groupoid, left distributive, left symmetric, subdirectly irreducible 
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Jeřábek, Emil; Kepka, Tomáš; Stanovský, David. Subdirectly irreducible non-idempotent left symmetric left distributive groupoids. Discussiones Mathematicae. General Algebra and Applications, Tome 25 (2005) no. 2, pp. 235-257. http://geodesic.mathdoc.fr/item/DMGAA_2005_25_2_a5/