论文标题
最小的单体生成具有复杂亚变量的品种
Minimal monoids generating varieties with complex subvariety lattices
论文作者
论文摘要
如果其子变量包含每个有限晶格的同构副本，则有限的多样性是有限的。我们表明，6个元素的勃兰特单体会产生有限的通用多种类型，并且从先前的结果来看，它是该属性的Monoid品种的最小发电机。还推断出，两个杂交的单体连接可以有限地普遍。特别是，我们表现出有限的多种多样的多种多样，这些单体具有许多亚变量，这是两种杂交的单型杂交的连接，它们的次变量分别是6元素和7个元素链。
A variety is finitely universal if its lattice of subvarieties contains an isomorphic copy of every finite lattice. We show that the 6-element Brandt monoid generates a finitely universal variety of monoids and, by the previous results, it is the smallest generator for a monoid variety with this property. It is also deduced that the join of two Cross varieties of monoids can be finitely universal. In particular, we exhibit a finitely universal variety of monoids with uncountably many subvarieties which is the join of two Cross varieties of monoids whose lattices of subvarieties are the 6-element and the 7-element chains, respectively.
