On Krull–Gabriel dimension of weighted surface algebras
Volume 179 / 2025
Colloquium Mathematicum 179 (2025), 233-257
MSC: Primary 16D50; Secondary 16G20, 16G60, 16G70, 18E10
DOI: 10.4064/cm9609-10-2025
Published online: 26 November 2025
Abstract
We determine the Krull–Gabriel dimension of weighted surface algebras, a class of algebras which recently appeared in the context of classification of tame symmetric periodic algebras of non-polynomial growth. Moreover, we consider the Krull–Gabriel dimension of idempotent algebras of weighted surface algebras and generalize the result in some cases.
