The Yoneda algebras of symmetric special biserial algebras are finitely generated
The Yoneda algebras of symmetric special biserial algebras are finitely generated
By using the Benson–Carlson diagrammatic method, a detailed combinatorial description is given for the syzygies of simple modules over special biserial algebras. With the help of this description, it is proved that the Yoneda algebras of the algebras mentioned above are finitely generated.