The Yoneda algebras of symmetric special biserial algebras are finitely generated
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M. A. Antipov and A. I. Generalov
Translated by: M. A. Antipov - St. Petersburg Math. J. 17 (2006), 377-392
- DOI: https://doi.org/10.1090/S1061-0022-06-00909-5
- Published electronically: March 9, 2006
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Abstract:
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.References
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Bibliographic Information
- M. A. Antipov
- Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Avenue 28, Staryĭ Peterhof, St. Petersburg 198904, Russia
- A. I. Generalov
- Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Avenue 28, Staryĭ Peterhof, St. Petersburg 198904, Russia
- Received by editor(s): September 1, 2004
- Published electronically: March 9, 2006
- © Copyright 2006 American Mathematical Society
- Journal: St. Petersburg Math. J. 17 (2006), 377-392
- MSC (2000): Primary 20C05
- DOI: https://doi.org/10.1090/S1061-0022-06-00909-5
- MathSciNet review: 2167841