Geodesic
Multiple left distributive systems
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 615-625.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_1997__38_4_a0,
     author = {Dehornoy, Patrick},
     title = {Multiple left distributive systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {615--625},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {1997},
     mrnumber = {1601664},
     zbl = {0943.20070},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1997__38_4_a0/}
}
TY  - JOUR
AU  - Dehornoy, Patrick
TI  - Multiple left distributive systems
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1997
SP  - 615
EP  - 625
VL  - 38
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1997__38_4_a0/
LA  - en
ID  - CMUC_1997__38_4_a0
ER  - 
%0 Journal Article
%A Dehornoy, Patrick
%T Multiple left distributive systems
%J Commentationes Mathematicae Universitatis Carolinae
%D 1997
%P 615-625
%V 38
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1997__38_4_a0/
%G en
%F CMUC_1997__38_4_a0
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/