平行可分解格的一致性

UNIFORMITY OF PARALLEL DECOMPOSABLELE LATTICE

本文引入了一致性这个概念，对具有此性质的格进行了研究，获得了一些有意义的结论。

The main results in this paper are the following:(Ⅰ)If Ⅰ∈Fs,then L is projectable if and only if L satisfies the uniformity.(Ⅱ)If L is a parallel decomposable lattice, then the following are equivalent.(1) L∈F and L is projectable.(2)L∈Fs and L is projectable.(3)L∈Fs∩B and(4)L∈Fs and L satisfies the uniformity.