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arXiv · 1112.0799

The Gabriel-Roiter filtration of the Ziegler spectrum

Henning Krause·Mike Prest
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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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Henning Krause, Mike Prest. 2011-12-04. The Gabriel-Roiter filtration of the Ziegler spectrum. https://arxiv.org/abs/1112.0799

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