Celestin Lele - Department of Mathematics and Computer Science, University of Dschang, P.O.Box ۶۷, Dschang, Cameroon
Line Nzoda Maffeu - Department of Mathematics and Computer Science, University of Dschang, Cameroon
Etienne Alomo Temgoua - Department of Mathematics of Ecole Normale Superieure, University of Yaounde ۱, Cameroon
Stefan Schmidt - Department of Mathematics faculty of algebra, University of Dresden, Dresden ۰۱۰۶۹, Germany

In this paper, we introduce as a generalization of the concept of derivation, the notion of f-derivation on residuated multilattices and investigate several of its properties. Then, we study good ideal f-derivations and make the connection with the complemented elements. Moreover, special sub-classes like the set of f-fixed points, the Kernel are found to have nice substructures.

Multilattice, residuated multilattice, filter, complemented elements, ideal derivation