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Stable endomorphism algebras of modules over special biserial algebras

Research paper by Jan Schröer, Alexander Zimmermann

Indexed on: 21 Aug '02Published on: 21 Aug '02Published in: Mathematics - Representation Theory



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.