Higher gentle algebras

Published 17 Mar 2019 in math.RT | (1903.07125v2)

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

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