Invariance of selfinjective algebras of quasitilted type under stable equivalences

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• 作者：Otto Kerner ; Andrzej Skowro¨½ski and Kunio Yamagata
• 关键词：Mathematics Subject Classification (2000) 16D50 ; 16G10 ; 16G70 ; 16S70
• 刊名：manuscripta mathematica
• 出版年：2006
• 出版时间：March 2006
• 年：2006
• 卷：119
• 期：3
• 页码：359-381
• 全文大小：235 KB

文摘

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.