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Preprint Number 400
400. Henning Krause, Mike Prest
The Gabriel-Roiter filtration of the Ziegler spectrum
Submission date: 4 December 2011.
Inclusion preserving maps from modules over an Artin algebra to complete partially ordered sets are studied. This yields a filtration of the Ziegler spectrum which 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.
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