By Takahide Adachi and Ryoichi Kase

In this paper, we introduce the notion of *\nu*-stable silting-discrete algebras, which unify silting-discrete algebras and tilting-discrete self-injective algebras, where *\nu* is a triangle auto-equivalence of the bounded homotopy category of finitely generated projective modules. Moreover, we give an example of tilting-discrete self-injective algebras which are not silting-discrete.

May 31, 2021

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Examples of tilting-discrete self-injective algebras which are not silting-discrete

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