Title : "The algebra of essential relations on a finite set"

Abstract : In this joint work with Jacques Thévenaz, we study the
structure of the algebra E(X) of essential relations on a finite
set X: this algebra (which doesn't seem to have been considered
so far) is the quotient of the algebra of the monoid of all
relations on X by the submodule generated by relations which
factor through a (strictly) smaller set. In particular, we determine
all the simple E(X)-modules.