Abstract.
A finite dimensional K-algebra \(\it\Lambda \) is called selfinjective of tilted type if \(\it\Lambda \) is a quotient \(\widehat {B}/(\varphi \nu _{\hat {B}})\), where \(\widehat {B}\) is the repetitive algebra of a tilted algebra B not of Dynkin type, \(\nu _{\hat {B}}\) is the Nakayama automorphism of \(\widehat {B}\), and \(\varphi \) is a positive automorphism of \(\widehat {B}\). We prove that a selfinjective algebra A is stably equivalent to a selfinjective algebra \(\it\Lambda \) of tilted type if and only if A is socle equivalent to a selfinjective algebra \(\it\Lambda \) of tilted type.
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Received: 25.2.1997
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Skowroński, A., Yamagata, K. Stable equivalence of selfinjective algebras of tilted type. Arch. Math. 70, 341–350 (1998). https://doi.org/10.1007/s000130050205
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DOI: https://doi.org/10.1007/s000130050205