格群中有关直交的一条定理的证明

A Proof of a Theorem about the Orthogonality of Lattice—ordered Group

本文给出了在格群中与某元直交的两元之积也与它直交的一条定理的一种证明。

In this paper we proved the following result: Let L be a lattice—ordered group,and a,b,c∈L. If a and b,a and c are orthogonal respectively, then a and be are orthogonal.