On degenerations and extensions of finite dimensional modules
type: Item
instance of: scholarly article
title: On degenerations and extensions of finite dimensional modules
zbMATH Open document ID: 0862.16007
author: Klaus Bongartz
published in: Advances in Mathematics
publication date: 1997-05-26T00:00:00Z
review text: The paper deals with a geometric study of finite dimensional modules over a finite dimensional associative algebra. The author proves a cancellation theorem for degenerations of modules and considers its applications to the theory of preprojective modules and modules over tame concealed algebras, the theory of matrix pencils and others. In fact, the main results of the article under review have been improved and generalized in two papers written later but published earlier [\textit{K. Bongartz}, Comment. Math. Helv. 69, No. 4, 575-611 (1994; Zbl 0832.16008) and Ann. Sci. Éc. Norm. Supér., IV. Sér. 28, No. 5, 647-668 (1995; Zbl 0844.16007)].
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 16G60
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 14M05
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 16G70
zbMATH DE Number: 934300
zbMATH Keywords: regular modules
zbMATH Keywords: stretched modules
zbMATH Keywords: tame concealed algebras
zbMATH Keywords: tame quivers
zbMATH Keywords: indecomposable quivers
zbMATH Keywords: simple quivers
zbMATH Keywords: path algebras
zbMATH Keywords: finite dimensional modules
zbMATH Keywords: finite dimensional associative algebras
zbMATH Keywords: cancellation theorems
zbMATH Keywords: degenerations of modules
zbMATH Keywords: preprojective modules
zbMATH Keywords: modules over tame concealed algebras
zbMATH Keywords: matrix pencils
reviewed by: Aleksandr G. Aleksandrov
MaRDI profile type: Publication
full work available at URL: aima.1996.0053
OpenAlex ID: W2058822808
DOI: 10.1006/AIMA.1996.0053
description: scientific article; zbMATH DE number 934300