论文标题
关于三方晶格中原子的数量
On the number of atoms in three-generated lattices
论文作者
论文摘要
作为论文的主要成就,我们构建了一个三生的2分发,无原子晶格,该格子未有限地呈现。另外,本文包含以下三个观察结果。首先,每个无外套的三生晶格至少都有一个原子。其次,我们提供一些足够的条件,这意味着三生晶格最多具有三个原子。第三,我们提出了一个三个原子的三生的见面晶格。
As the main achievement of the paper, we construct a three-generated, 2-distributive, atomless lattice that is not finitely presented. Also, the paper contains the following three observations. First, every coatomless three-generated lattice has at least one atom. Second, we give some sufficient conditions implying that a three-generated lattice has at most three atoms. Third, we present a three-generated meet-distributive lattice with four atoms.