Krull–Gabriel dimension and Cantor–Bendixson rank of 1-domestic string algebras
Volume 127 / 2012
Colloquium Mathematicum 127 (2012), 185-211
MSC: Primary 16G20; Secondary 16D50, 03C98.
DOI: 10.4064/cm127-2-4
Abstract
We prove that the Krull–Gabriel dimension of the category of modules over any $1$-domestic non-degenerate string algebra is $3$.
