Geodesic
Multiple left distributive systems
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 615-625 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We describe the free objects in the variety of algebras involving several mutually distributive binary operations. Also, we show how an associative operation can be constructed on such systems in good cases, thus obtaining a two way correspondence between LD-monoids (sets with a left self-distributive and a compatible associative operation) and multi-LD-systems (sets with a family of mutually distributive operations).
We describe the free objects in the variety of algebras involving several mutually distributive binary operations. Also, we show how an associative operation can be constructed on such systems in good cases, thus obtaining a two way correspondence between LD-monoids (sets with a left self-distributive and a compatible associative operation) and multi-LD-systems (sets with a family of mutually distributive operations).
Classification : 08A02, 08B20, 20N02
Keywords: binary system; self-distributivity 
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     author = {Dehornoy, Patrick},
     title = {Multiple left distributive systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {615--625},
     year = {1997},
     volume = {38},
     number = {4},
     mrnumber = {1601664},
     zbl = {0943.20070},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a0/}
}
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Dehornoy, Patrick. Multiple left distributive systems. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 615-625. http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a0/