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Białkowski, Erdmann and Skowroński classified those indecomposable selfinjective algebras for which the Nakayama shift of every (non-projective) simple module is isomorphic to its third syzygy. It turned out that these are precisely the deformations, in a suitable sense, of preprojective algebras associated to the simply laced ADE Dynkin diagrams and of another graph Ln, which also occurs in the Happel–Preiser–Ringel...
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