Stable endomorphism algebras of modules over special biserial algebras

Details Stable endomorphism algebras of modules over special biserial algebras Stable endomorphism algebras of modules over special biserial algebras

2002-08-21

arxiv.org/abs/math/0208150v1

Mathematics

Representation Theory

Scientific paper

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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