Krull Dimension and Global Dimension of Simple Ore-Extensions. Robert Hart (1971) Mathematische Zeitschrift
Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras Gena Puninski (2012) Colloquium Mathematicae We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.