Abstract
Let A be an Auslander algebra of global dimension equal to 2. We provide a necessary and sufficient condition for A to be a tilted algebra. In particular, A is a tilted algebra if and only if \({{\,\mathrm{pd}\,}}_{A}(\tau _{A}\Omega _{A}DA)\le 1\).
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Zito, S. Auslander algebras which are tilted. Arch. Math. 115, 241–246 (2020). https://doi.org/10.1007/s00013-020-01471-2
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DOI: https://doi.org/10.1007/s00013-020-01471-2