Institut de Mathématiques de Luminy

Abstract 2001-12

Burckel Serge.
Weak generators on finite sets

For any finite set, we construct a binary commutative operation defined with the zero, the successor and the equality relation that generates via compositions any mapping on this set.
Moreover, this construction can be generalized to a ternary operator defined with the order relation that enables to generate any mapping on any finite set.



Last update : may 14, 2001, EL.