DAVOUD EBADI - Azarbaijan Shahid Madani University Azar-shahr,Tabriz, Iran
MOHAMMAD HOSSEIN SATTARI - Department of pure Mathematics Azarbaijan Shahid Madani University Azar-shahr,Tabriz, Iran

Trellises are generalization of lattices by considering sets with a reflexive and antisymmetric, but not necessarily transitive. The purpose of this paper is to examine new structures of trellies and investigate some related properties of this subject. We give some equivalent conditions under which a derivation is isotone for trellises.

trellis, derivation, f-derivation, isotone, fixed-point, pseudo-order, associative, distributive, ideal, cartesian, modular.