Geodesic
Geometry monoid of the left distributivity and the left idempotency
Algebra and discrete mathematics, no. 4 (2006), pp. 12-39

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We construct here the geometry monoids of LDI (left distributive idempotent) and of LDLI (left distributive left idempotent) identities. We study their properties and construct a monoid with solvable word problem based on relations of the geometry monoid of LDLI. 
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     author = {P\v{r}emysl Jedli\v{c}ka},
     title = {Geometry monoid of the left distributivity and the left idempotency},
     journal = {Algebra and discrete mathematics},
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     publisher = {mathdoc},
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     year = {2006},
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Přemysl Jedlička. Geometry monoid of the left distributivity and the left idempotency. Algebra and discrete mathematics, no. 4 (2006), pp. 12-39. http://geodesic.mathdoc.fr/item/ADM_2006_4_a1/