非模的上半模格的一个特征

A Characterization for a Non-Modular Upper Semi-Modular Lattice

本文证明了有穷长非模的上半模格的一个特征(定理J),作为其应用,在证明了一个命题之后,求出了8元格中所有解同构的非模的上半模格。

This paper proves a characterization of non-modular upper semi-modular lattice with finite length (Th.3) .As an application of theorem 3, we first prove a proposition , then we find out all non-ismorphic non-modlar upper semi-modular lattices of eight-element lattices.