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On Krull-Gabriel dimension of weighted surface algebras

2025/03/28 by Erdmann, Karin, Jaworska-Pastuszak, Alicja, Pastuszak, Grzegorz
#16G20 #16G60 #16G70 #18E10 #2020 MSC: 16D50 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2503.22295

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 Krull-Gabriel dimension of idempotent algebras of weighted surface algebras and generalize the result in some cases.

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