Stable endomorphism algebras of modules over special biserial algebras
Representation Theory
2007-05-23 v1
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.
Cite
@article{arxiv.math/0208150,
title = {Stable endomorphism algebras of modules over special biserial algebras},
author = {Jan Schröer and Alexander Zimmermann},
journal= {arXiv preprint arXiv:math/0208150},
year = {2007}
}