A functor between categories of regular modules for wild hereditary algebras (Q1322086)

A theorem of Kerner gives a bijection between the sets of regular Auslander-Reiten components for any two connected wild hereditary algebras over an algebraically closed field \(k\). We construct a functor which induces this bijection. Let \(A\) be such an algebra with \(n \geq 3\) simple modules. We construct a connected wild hereditary algebra \(C\) with \(n-1\) simples and a full dense functor from the category of regular \(C\)- modules to the category of regular \(A\)-modules, whose kernel consists of the maps which factor through a direct sum of translates of a certain quasi-simple \(C\)-module.