Operation of automorphisms on 1-tubes Original Research Article

This paper deals with the operation of ring authomorphisms of string algebras on the corresponding Auslander-Reiten quiver. Given an arbitrary ring automorphism, its action on each family of 1-tubes, when considered separately, is determined. In case that the string algebra is domestic, this yields a complete description of the simultaneous action of every ring automorphism on all finitely generated modules.