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Currently displaying 1 – 3 of 3

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Band combinatorics of domestic string algebras

Gena Puninski — 2007

Colloquium Mathematicae

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

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.

One-directed indecomposable pure injective modules over string algebras

Mike Prest; Gena Puninski — 2004

Colloquium Mathematicae

We classify one-directed indecomposable pure injective modules over finite-dimensional string algebras.

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