PERMUTING TRI-f-DERIVATIONS IN LATTICES

Abstract

Abstract. The aim of this paper is to introduce the notion of permuting tri-f -derivations in lattices and to study some properties of permuting trif -derivations.

Permuting Tri-Derivations on Posets

“…Inspired by the notion permuting tri-derivations on rings [2,7] and lattices [8,13] the following notion on posets is introduced.…”

“…In this direction some progress have already been made (see [14]). In the year 2009, Öztürk et al [8] brought about the idea of permuting tri-derivations to lattices and investigated some related properties (for more information see also [4] and [13]).…”

Some Results on Fixed Sets and Kernel Sets of Permuting \(n\)-\((f ,g)\)-derivation of Lattices

“…In [8], Öztürk et al introduced the permuting tri-derivations in lattices. Yazarli and Ozturk [13] generalized the permuting tri-derivations to permuting tri-f -derivations. Xin [12] introduced the fixed set of derivations in lattices and proved that the fixed set of a derivation is an ideal in lattices.…”