Factors of wild, concealed algebras
type: Item
instance of: scholarly article
title: Factors of wild, concealed algebras
zbMATH Open document ID: 0648.16026
DOI: 10.1007/BF01215152
author: Dieter Happel
author: Luise Unger
published in: Mathematische Zeitschrift
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174066
review text: 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 \({\vec \Delta}\).
Mathematics Subject Classification ID: 16Gxx
zbMATH DE Number: 4057731
zbMATH Keywords: connected quiver
zbMATH Keywords: path algebra
zbMATH Keywords: preprojective tilting module
zbMATH Keywords: concealed algebra
zbMATH Keywords: wild quiver
zbMATH Keywords: factor algebra
MaRDI profile type: Publication
cites work: On the derived category of a finite-dimensional algebra
cites work: Minimal algebras of infinite representation type with preprojective component
cites work: Tame algebras and integral quadratic forms
cites work: Lower bounds for faithful, preinjective modules
description: scientific article; zbMATH DE number 4057731