On orthogonally additive band operators and orthogonally additive disjointness preserving operators

Let $M$ and $N$ be Archimedean vector lattices. We introduce orthogonally additive band operators inverse from to examine their properties. investigate the relationship between disjointness preserving show that under some assumptions on lattices or $N$, these two classes are same. By using this relation, we if ${\mu }$ is a bijective operator (resp. operator) into then }^{-1}$:$N$${\rightarrow}$$M$ an operator).