2 research outputs found
Generalizations of Laver tables
We shall generalize the notion of a Laver table to algebras which may have
many generators, several fundamental operations, fundamental operations of
arity higher than 2, and to algebras where only some of the operations are
self-distributive or where the operations satisfy a generalized version of
self-distributivity. These algebras mimic the algebras of rank-into-rank
embeddings in the sense that
composition and the notion of a critical point make sense for these sorts of
algebras
Construction of Self-Distributive Operations and Charged Braids
Starting from a certain monoid that describes the geometry of the left self-distibutive..