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There are no strictly shod algebras in hereditary gentle algebras

Published 18 Dec 2022 in math.RT | (2212.09105v2)

Abstract: We prove that there are no strictly shod algebras in hereditary gentle algebras by geometric models. As an application, we give a classification of the silted algebras for Dynkin type $\mathbb{A}{n}$ and $\widetilde{\mathbb{A}}{n}$.

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