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arXiv · 2503.22295

On Krull-Gabriel dimension of weighted surface algebras

Karin Erdmann·Alicja Jaworska-Pastuszak·Grzegorz Pastuszak
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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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Karin Erdmann, Alicja Jaworska-Pastuszak, Grzegorz Pastuszak. 2025-03-28. On Krull-Gabriel dimension of weighted surface algebras. https://arxiv.org/abs/2503.22295

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