Geodesic
Non-idempotent left symmetric left distributive groupoids
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 181-186.

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Subdirectly irreducible non-idempotent groupoids satisfying $x\cdot xy=y$ and \linebreak $x\cdot yz=xy\cdot xz$ are studied.
Classification : 08B20, 20N02
Keywords: groupoid; symmetric; distributive 
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     title = {Non-idempotent left symmetric left distributive groupoids},
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Kepka, Tomáš. Non-idempotent left symmetric left distributive groupoids. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 181-186. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a16/