On the monoid of cofinite partial isometries of $\mathbb{N}$ with a bounded finite noise

Oleg Gutik, Pavlo Khylynskyi

In the paper we study algebraic properties of the monoid $\mathbf{I}{\mathbb{N}}_{\infty }^{\mathbf{g}[j]}$ of cofinite partial isometries of the set of positive integers $\mathbb…