Krull–Gabriel dimension and Cantor–Bendixson rank of 1-domestic string algebras

Gena Puninski
2012 Colloquium Mathematicum  
We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.
doi:10.4064/cm127-2-4 fatcat:wkaknrkdtfat5nujri3kf4ne6q