Work

Infinite finitely generated automata semigroups have infinite orbits

Year: 2018
Type: preprint
Abstract: We prove that the semigroup generated by a finite state Mealy automaton $\mathcal{A}=(Q,A,τ)$ is infinite if and only if there exists some right-infinite word in the alphabet $A$ with infinite orbit.
Language: English
Open Access status: green
OpenAlex ID: W2785906865
Cites: 2
Cited by:
Related to: 10