Krull-Gabriel dimension of domestic string algebras

2015/06/25 by Rosanna Laking, Laking, Rosanna, Mike Prest +3 · 2 citations
Mathematics · #03C60 #16G20 #16G60 #FOS: Mathematics #Logic (math.LO) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.LO #math.RA #math.RT #msc:03C60 #msc:16G20 #msc:16G60

paper · pdf · doi:10.48550/arxiv.1506.07703

marginpars removed

arxiv created 2015/06/29 · arxiv updated 2015/06/30

Abstract

We calculate, confirming a conjecture of Schröer, the Krull-Gabriel dimension of the category of modules over any domestic string algebra, as well as the Cantor-Bendixson rank of each point of its Ziegler spectrum. We also determine the topology on this space.

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• Automorphisms of locally string algebras
• Derksen-Weyman-Zelevinsky mutations of infinite-dimensional modules I: Foundations

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