Stable endomorphism algebras of modules over special biserial algebras. (English) Zbl 1036.16004
In this interesting paper it is shown that the stable endomorphism algebra of a module with trivial self-extension over a special biserial algebra is always a gentle algebra. This result has one consequence: any algebra which is derived equivalent to a gentle algebra is a gentle algebra, too.
Reviewer: Xi Changchang (Beijing)
MSC:
| 16E30 | Homological functors on modules (Tor, Ext, etc.) in associative algebras |
| 16G20 | Representations of quivers and partially ordered sets |
| 16D90 | Module categories in associative algebras |
| 16S50 | Endomorphism rings; matrix rings |
| 18E30 | Derived categories, triangulated categories (MSC2010) |
