  The aim of the present paper is to generalize the concept of residuated
poset, by replacing the usual partial ordering by a generic binary relation,
giving rise to relational systems which are residuated. In particular, we
modify the definition of adjointness in such a way that the ordering relation
can be harmlessly replaced by a binary relation. By enriching such binary
relation with additional properties we get interesting properties of residuated
relational systems which are analogical to those of residuated posets and
lattices.
