Krull-Gabriel dimension of domestic string algebras

Published 25 Jun 2015 in math.RT, math.LO, and math.RA | (1506.07703v2)

Abstract: 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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