On a Lift of an Individual Stable Equivalence to a Standard Derived Equivalence for Representation-Finite Self-injective Algebras
On a Lift of an Individual Stable Equivalence to a Standard Derived Equivalence for Representation-Finite Self-injective Algebras
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DOI：
10.1023/b:alge.0000003543.02426.4d
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发表时间：
2003-10
影响因子：
0.6
通讯作者：
Hideto Asashiba
中科院分区：
文献类型：
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作者：
Hideto Asashiba
我们将证明，非 (D3m,s/3,1) 类型且 m≥2, 3∤s 的表示有限自注入代数之间的每个稳定等价（函子）都会提升到标准导出等价。这意味着这些代数之间的所有稳定等价都是森田型的。
We shall show that every stable equivalence (functor) between representation-finite self-injective algebras not of type (D3m,s/3,1) withm≥2, 3∤slifts to a standard derived equivalence. This implies that all stable equivalences between these algebras are of Morita type.