Band combinatorics of domestic string algebras
We prove that the multiplicity of a simple module as a composition factor in a composition series for a primitive band module over a domestic string algebra is at most two.
Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras
We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.
One-directed indecomposable pure injective modules over string algebras
We classify one-directed indecomposable pure injective modules over finite-dimensional string algebras.
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