The Gabriel-Roiter filtration of the Ziegler spectrum

Details The Gabriel-Roiter filtration of the Ziegler spectrum The Gabriel-Roiter filtration of the Ziegler spectrum

2011-12-04

arxiv.org/abs/1112.0799v1

Mathematics

Representation Theory

9 pages

Scientific paper

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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