本注记中,我们把Nachbin关于布尔格的一个定理推广到相对补格。我们证明:一个分配格是相对补格当且仅当由它的素理想所组成的序集是一个反链。
In this note,we extend Nachbin's theorem on a boolean lattice to a relatively complemented lattice.We show that a distributive lattice is relatively complemented if and only if the ordered set consisting of its prime ideals is an antichain.