Stable equivalence of selfinjective algebras of tilted type
Stable equivalence of selfinjective algebras of tilted type
复制标题
倾斜型自射代数的稳定等价
DOI：
10.1007/s000130050205
复制
发表时间：
1998
影响因子：
0.6
通讯作者：
K. Yamagata
中科院分区：
文献类型：
--
作者：
A. Skowroński;K. Yamagata
有限维K-代数称为倾斜型自内射，如果是商，其中是Dynkin型倾斜代数Bnot的重复代数，是的Nakayama自同构，是的正自同构。证明了自内射代数A稳定等价于倾斜型自内射代数当且仅当A是倾斜型自内射代数的基柱等价。
A finite dimensionalK-algebrais called selfinjective of tilted type ifis a quotient, whereis the repetitive algebra of a tilted algebraBnot of Dynkin type,is the Nakayama automorphism of, andis a positive automorphism of. We prove that a selfinjective algebraAis stably equivalent to a selfinjective algebraof tilted type if and only ifAis socle equivalent to a selfinjective algebraof tilted type.