Journal of algebra, 2017-05, Vol.477, p.163-194
2017
Volltextzugriff (PDF)
Details
- Autor(en) / Beteiligte
- Titel
- The representation dimension of a selfinjective algebra of wild tilted type
- Ist Teil von
- Journal of algebra, 2017-05, Vol.477, p.163-194
- Ort / Verlag
- Elsevier Inc
- Erscheinungsjahr
- 2017
- Quelle
- Access via ScienceDirect (Elsevier)
- Beschreibungen/Notizen
- We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjective algebra admits an acyclic generalised standard Auslander–Reiten component then its representation dimension is equal to three.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0021-8693eISSN: 1090-266XDOI: 10.1016/j.jalgebra.2016.12.010Titel-ID: cdi_crossref_primary_10_1016_j_jalgebra_2016_12_010
- Format
- –
- Schlagworte
- Representation dimension, Selfinjective algebras, Tilted algebras, Wild algebras, Wild type