论文标题
免费的逆单体不是$ fp_2 $
Free inverse monoids are not $FP_2$
论文作者
论文摘要
我们提供了一个拓扑证明,一个或多个发电机上的免费逆词形既不是左$ fp_2 $的类型,也不是右 - $ fp_2 $。这加强了Schein的经典结果,即这种单型物体不是有限地表现为单粒子的。
We give a topological proof that a free inverse monoid on one or more generators is neither of type left-$FP_2$ nor right-$FP_2$. This strengthens a classical result of Schein that such monoids are not finitely presented as monoids.