论文标题
在采取相对补充下关闭的议法的2分发和晶格
2-distributivity and lattices of sublattices closed under taking relative complements
论文作者
论文摘要
对于有限长度的模块化晶格$ l $，我们证明$ L $的分布性是一个足够的条件，而其2分发性是一种必要的条件，即$ l $的Sublattices在相对补充下封闭的$ l $ sublattices构成了有限长度的排名。
For a modular lattice $L$ of finite length, we prove that the distributivity of $L$ is a sufficient condition while its 2-distributivity is a necessary condition that those sublattices of $L$ that are closed under taking relative complements form a ranked lattice of finite length.
