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The Gabriel-Roiter filtration of the Ziegler spectrum

Published 4 Dec 2011 in math.RT, math.LO, and math.RA | (1112.0799v1)

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 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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