The terms in the Ringel-Hall product of preinjective Kronecker modules.
type: Item
instance of: scholarly article
title: The terms in the Ringel-Hall product of preinjective Kronecker modules.
zbMATH Open document ID: 1249.16018
author: Csaba Szántó
author: István Szöllősi
published in: Periodica Mathematica Hungarica
publication date: 2012-02-13T00:00:00Z
review text: In the main result of the paper (Theorem 8) the authors describe the terms in the Ringel-Hall product of preinjective Kronecker modules. As an application they obtain in Corollary 9 (via Lemma 2) an explicit solution to the column completion challenge for pencils with only minimal indices for columns corresponding to preinjective modules and to the row completion challenge for pencils with only minimal indicies for rows corresponding to preprojective modules.
reviewed by: Simion Sorin Breaz
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 15A22
zbMATH DE Number: 6006235
zbMATH Keywords: Kronecker algebras
zbMATH Keywords: matrix pencils
zbMATH Keywords: preinjective Kronecker modules
zbMATH Keywords: Ringel-Hall algebras
zbMATH Keywords: preinjective representations
MaRDI profile type: Publication
full work available at URL: s10998-011-8227-5
OpenAlex ID: W2140843217
cites work: Q5704250
cites work: Subrepresentations of Kronecker representations.
cites work: Assigning the Kronecker invariants of a matrix pencil by row or column completions
cites work: Tame algebras and integral quadratic forms
cites work: Hall numbers and the composition algebra of the Kronecker algebra.
DOI: 10.1007/S10998-011-8227-5
description: scientific article; zbMATH DE number 6006235