Krull-Gabriel dimension of domestic string algebras
classification
🧮 math.RT
math.LOmath.RA
keywords
dimensiondomestickrull-gabrielstringalgebraalgebrascalculatecantor-bendixson
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We calculate, confirming a conjecture of Schr\"{o}er, the Krull-Gabriel dimension of the category of modules over any domestic string algebra, as well as the Cantor-Bendixson rank of each point of its Ziegler spectrum. We also determine the topology on this space.
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