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Universität Bielefeld

Infinite Gabriel-Roiter measures for the 3-Kronecker quiver

Abstract

dc:description.abstract

In this thesis we will use indecomposable representations of the 3-Kronecker quiver to construct uncountably many infinite Gabriel-Roiter measures. Our aim is to classify all piling submodules of an indecomposable regular module. We will show that they are either unique of a certain length or there is a one-parameter family of such submodules. A possible largest Gabriel-Roiter measure in the central part is discussed.

Degree

thesis:*
Level thesis:degree_level
thesis.doctoral
Grantor dc:publisher
Universität Bielefeld
Year
2008

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Fahr, Philipp

Identifiers

dc:identifier.*
Repository record source_url
https://pub.uni-bielefeld.de/record/2302435
OAI identifier oai:identifier
oai:pub.uni-bielefeld.de:2302435

Chain of custody

source
Harvested from
Universität Bielefeld
Base URL
pub.uni-bielefeld.de/oai
Last updated
2026-07-27
Source record
OAI-PMH GetRecord
citation

Fahr, Philipp. Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. thesis.doctoral thesis, Universität Bielefeld, 2008. https://pub.uni-bielefeld.de/record/2302435