Krull-Gabriel dimension of domestic string algebras
Representation Theory
2015-06-30 v2 Logic
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1506.07703,
title = {Krull-Gabriel dimension of domestic string algebras},
author = {Rosanna Laking and Mike Prest and Gena Puninski},
journal= {arXiv preprint arXiv:1506.07703},
year = {2015}
}
Comments
marginpars removed