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Invariance of selfinjective algebras of quasitilted type under stable equivalences

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Abstract

We prove that the class of finite dimensional selfinjective algebras over a field which admit Galois coverings by the repetitive algebras of the quasitilted algebras, with Galois groups generated by compositions of the Nakayama automorphisms with strictly positive automorphisms, is invariant under stable and derived equivalences.

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Correspondence to Andrzej Skowroński.

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Dedicated to Claus Michael Ringel on the occasion of his sixtieth birthday

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Kerner, O., Skowroński, A. & Yamagata, K. Invariance of selfinjective algebras of quasitilted type under stable equivalences. manuscripta math. 119, 359–381 (2006). https://doi.org/10.1007/s00229-005-0623-9

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  • DOI: https://doi.org/10.1007/s00229-005-0623-9

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