Krull-Gabriel dimension of domestic string algebras

Research output: Contribution to journalArticle

Abstract

We calculate the Krull-Gabriel dimension of the category of modules over any domestic string algebra, in particular showing that it is finite, thus confirming a conjecture of Schröer. We also compute the Cantor-Bendixson rank of each point of its Ziegler spectrum and determine the topology on this space.

Bibliographical metadata

Original languageEnglish
JournalTransactions of the American Mathematical Society
Early online date26 Dec 2017
DOIs
StatePublished - 2017