2 problems

Trivial-range conjecture. The restriction operator $R$ has trivial range. The conjecture concerns the restriction of automorphisms from the superextension of $\mathrm{M}_{r,m}$ to…

Let $\mathrm{M}_{r,m}$ denote a finite monogenic semigroup, let $\lambda(S)$ denote its superextension, and let $\operatorname{Aut}(G)$ denote the automorphism group of a group $G$…