Factors of wild, concealed algebras
Let \({\vec \Delta}\) be a finite and connected quiver without oriented cycle. Let \(A=k{\vec \Delta}\) be the associated path algebra. Let \({}_ AM\) be a preprojective tilting module and \(B=End _ AM\). We say that B is a concealed algebra of type \({\vec \Delta}\). In this article we are interested in the case that \({\vec \Delta}\) is a wild quiver (i.e. \({\vec \Delta}\) properly contains an affine subquiver). The main result asserts that these algebras always admit a factor algebra which is concealed of type \({\vec \Delta}'\) for a full and connected subquiver \({\vec \Delta}'\) of \({\vec \Delta}\).
scientific article; zbMATH DE number 4057731