Krull–Gabriel dimension of domestic string algebras

Laking, Rosanna; Prest, Mike; Puninski, Gena

doi:10.1090/tran/7093

Krull–Gabriel dimension of domestic string algebras
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by Rosanna Laking, Mike Prest and Gena Puninski PDF

Trans. Amer. Math. Soc. 370 (2018), 4813-4840 Request permission

Abstract:

We calculate the Krull–Gabriel dimension of the category of modules over any domestic string algebra, in particular showing that it is finite, thus confirming a conjecture of Schröer. We also compute the Cantor–Bendixson rank of each point of its Ziegler spectrum and determine the topology on this space.

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