论文标题
单体品种晶格的分配和下模元素
Distributive and lower-modular elements of the lattice of monoid varieties
论文作者
论文摘要
半群品种晶格的所有中性，分布和下模数元素的集合分别是有限的，无限的和无限的无限。在2018年，我们确定了单体品种的晶格中完全存在三个中性元素。在目前的工作中，表明中立性，分布性和较低型在单体品种晶格中的重合。因此，该晶格的精确存在三个分布和下模量元件。
The sets of all neutral, distributive and lower-modular elements of the lattice of semigroup varieties are finite, countably infinite and uncountably infinite, respectively. In 2018, we established that there are precisely three neutral elements of the lattice of monoid varieties. In the present work, it is shown that the neutrality, distributivity and lower-modularity coincide in the lattice of monoid varieties. Thus, there are precisely three distributive and lower-modular elements of this lattice.
