Artin algebras with only preprojective or preinjective modules are of finite type
We give an affirmative answer to the following question raised by C. M. Ringel more than 14 years ago [in \textit{M. Auslander} and \textit{S. O. Smalø}, Lect. Notes Math. 832, 48-73 (1980; Zbl 0446.16026)]. If \(\Lambda\) is an Artin algebra of infinite representation type, do there exist indecomposable modules which are neither preprojective nor preinjective?
scientific article; zbMATH DE number 734516