Stable endomorphism algebras of modules over special biserial algebras
Stable endomorphism algebras of modules over special biserial algebras
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DOI：
10.1007/s00209-003-0492-4
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发表时间：
2002-08
影响因子：
0.8
通讯作者：
J. Schröer;A. Zimmermann
中科院分区：
文献类型：
--
作者：
J. Schröer;A. Zimmermann
我们证明在特殊双列代数上没有自扩张的模的稳定自同态代数是温和代数。特别是，它又是特别的双系列。因此，任何与温和代数等价的代数都是温和的。
We prove that the stable endomorphism algebra of a module without self-extensions over a special biserial algebra is a gentle algebra. In particular, it is again special biserial. As a consequence, any algebra which is derived equivalent to a gentle algebra is gentle.