Robert Roy
Abstract: Let R be a complete local Gorenstein ring of dimension one, with maximal ideal m. We show that if M is a Cohen-Macaulay R-module which begins an AR-sequence, then this sequence is produced by a particular endomorphism of m corresponding to a minimal prime ideal. We apply this result to determining the shape of some components of Auslander-Reiten quivers.
ArXiv: 1710.00907