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Stable endomorphism algebras of modules over special biserial algebras

Jan Schröer·Alexander Zimmermann
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Abstract

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.

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BibTeXRIS

Jan Schröer, Alexander Zimmermann. 2002-08-21. Stable endomorphism algebras of modules over special biserial algebras. https://arxiv.org/abs/math/0208150

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