Some results on Lattice involving generalized permuting tri-derivations

Abstract

In this paper we introduce the notion of generalized permuting tri-derivations, g-derivations, and g-tri-derivations on lattices, and we study and generalize some properties discussed in [14] and [29]. We also give some properties characterizing the g-derivations, the g-tri-derivations, and the generalized permuting tri-derivations and their trace.