On \(\Delta\)-good module categories of quasi-hereditary algebras
type: Item
instance of: scholarly article
title: On \(\Delta\)-good module categories of quasi-hereditary algebras
zbMATH Open document ID: 0893.16004
author: Bangming Deng
author: Changchang Xi
published in: Chinese Annals of Mathematics. Series B
publication date: 1998-08-17T00:00:00Z
review text: Let \(A\) be a quasi-hereditary algebra. Denote by \({\mathcal F}(\Delta)\) the category of \(A\)-modules which have a filtration by standard modules. The authors study the question whether \({\mathcal F}(\Delta)\) has finite type, that is, whether it has only finitely many indecomposable objects up to isomorphism. They reformulate the problem in terms of vector space categories. Using Kleiner's list of representation finite posets, they then solve the problem for a quite special class of quasi-hereditary algebras, which are obtained from certain posets by sort of a doubling process.
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 16G60
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 1112257
zbMATH Keywords: categories of modules
zbMATH Keywords: filtrations
zbMATH Keywords: standard modules
zbMATH Keywords: vector space categories
zbMATH Keywords: representation finite posets
zbMATH Keywords: quasi-hereditary algebras
zbMATH Keywords: doubling process
reviewed by: Steffen Koenig
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1112257