The gabriel-roiter filtration of the ziegler spectrum

Henning Krause, Mike Prest

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Inclusion-preserving maps from modules over an Artin algebra to complete partially ordered sets are studied. This yields a filtration of the Ziegler spectrum that is indexed by all Gabriel-Roiter measures. Another application is a compactness result for the set of subcategories of finitely presented modules that are closed under submodules. © 2012 2012. Published by Oxford University Press. All rights reserved. For permissions, please email: [email protected].
    Original languageEnglish
    Pages (from-to)891-901
    Number of pages10
    JournalQuarterly Journal of Mathematics
    Volume64
    Issue number3
    DOIs
    Publication statusPublished - Sept 2013

    Fingerprint

    Dive into the research topics of 'The gabriel-roiter filtration of the ziegler spectrum'. Together they form a unique fingerprint.

    Cite this