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 language | English |
---|---|
Pages (from-to) | 891-901 |
Number of pages | 10 |
Journal | Quarterly Journal of Mathematics |
Volume | 64 |
Issue number | 3 |
DOIs | |
Publication status | Published - Sept 2013 |