摘要
本文讨论了分配格理想的特殊性质。主要结果:Ⅰ,若格L的素理想是强素的,则:L(?)Bw当且仅当每一个正则理想仅在有限条根上Ⅱ,若L(?)Bw且每一个素理想是强素的,则L∈B_W当且仅当“Q_α,Q_β∈r(L),Q_α,Q_β可比较当且仅当N_α=N_β”
This paper discusses the special properties of the ideals of distributive lattices. The main results are the following. (Ⅰ) if every prime ideal of lattice L is a strong prime ideal, then L ∈ B if and only if every regular ideal is on finite roots; (Ⅱ) L ∈B_w and every prime ideal of L is a strong prime ideal, then L ∈ B if and only if 'Q_α, Q_β ∈(L),Q_α,Q_β are comparable if and only if N_α=N_β. '
