On automorphisms of the semigroup ${\mathbf{B}}_{\omega }^{\mathcal{F}}$ in the case when the family $\mathcal{F}$ consists of nonempty inductive subsets of $\omega$

Oleg Gutik, Mykola Mykhalenych

Let $\mathcal{F}$ be a family of nonempty inductive subsets of $\omega$. It is proved that an injective endomorphism $\epsilon$ of the semigroup ${\mathbf{B}}_{\omega }^{\mathcal{F}}$ is t…