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arXiv · 1903.07125

Higher gentle algebras

Jordan McMahon
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Abstract

We introduce higher gentle algebras. Our definition allows us to determine the singularity categories and subsequently show that higher gentle algebras are Iwanaga-Gorenstein. Under extra assumptions, we show that cluster-tilted algebras (in the sense of Oppermann-Thomas) of higher Auslander algebras of type $A$ are higher gentle.

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Jordan McMahon. 2019-04-30. Higher gentle algebras. https://arxiv.org/abs/1903.07125

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