The monoid of monotone injective partial selfmaps of the poset $({\mathbb{N}}^3,⩽)$ with cofinite domains and images

Oleg Gutik, Olha Krokhmalna

Let $n$ be a positive integer $⩾2$ and ${\mathbb{N}}_{⩽}^n$ be the $n$-th power of positive integers with the product order of the usual order on $\mathbb{N}$. In th…