标题： 在完全拓扑逆多项循环半群上 显示英文标题

标题： On a complete topological inverse polycyclic monoid

摘要： 我们给出当拓扑逆 $\lambda$-多项循环独异点 $P_{\lambda}$ 在拓扑逆半群类中是绝对 $H$-闭的充分条件。 同时，对于每个无限基数 $\lambda$，我们在 $P_\lambda$上构造最粗糙的逆半群拓扑 $\tau_{mi}$，并给出一个包含多项循环独异点 $P_2$ 作为稠密离散子半群的拓扑逆独异点 S 的例子。 显示英文摘要

摘要： We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups. Also, for every infinite cardinal $\lambda$ we construct the coarsest semigroup inverse topology $\tau_{mi}$ on $P_\lambda$ and give an example of a topological inverse monoid S which contains the polycyclic monoid $P_2$ as a dense discrete subsemigroup.