The monoid of order isomorphisms between principal filters of $\sigma {\mathbb{N}}^{\kappa }$

Taras Mokrytskyi

Consider the following generalization of the bicyclic monoid. Let $\kappa$ be any infinite cardinal and let $\mathcal{I}\mathcal{P}\mathcal{F}\left(\sigma {\mathbb{N}}^{\kappa }\right)$ be the semigroup of all order i…