On Krull-Gabriel dimension of weighted surface algebras

Fuente: arXiv
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Autori principali: Erdmann, Karin, Jaworska-Pastuszak, Alicja, Pastuszak, Grzegorz
Natura: Preprint
Pubblicazione: 2025
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author Erdmann, Karin
Jaworska-Pastuszak, Alicja
Pastuszak, Grzegorz
author_facet Erdmann, Karin
Jaworska-Pastuszak, Alicja
Pastuszak, Grzegorz
contents 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 Krull-Gabriel dimension of idempotent algebras of weighted surface algebras and generalize the result in some cases.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22295
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Krull-Gabriel dimension of weighted surface algebras
Erdmann, Karin
Jaworska-Pastuszak, Alicja
Pastuszak, Grzegorz
Representation Theory
2020 MSC: 16D50, 16G20, 16G60, 16G70, 18E10
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 Krull-Gabriel dimension of idempotent algebras of weighted surface algebras and generalize the result in some cases.
title On Krull-Gabriel dimension of weighted surface algebras
topic Representation Theory
2020 MSC: 16D50, 16G20, 16G60, 16G70, 18E10
url https://arxiv.org/abs/2503.22295