Nilpotent graphs over skew PBW extensions
We study the diameter and girth of nilpotent graphs associated with skew PBW extensions over $2$-primal rings, generalizing similar results on skew polynomial rings. Under certain compatibility conditions, we establish bounds for the diameter of the nilpotent graph and prove invariance of the girth under polynomial extensions.
Authors
- Armando Reyes (ORCID: https://orcid.org/0000-0002-5774-0822)
- Sebastián Higuera
Institutions
- Universidad Nacional de Colombia (CO)
- Escuela Colombiana de Carreras Industriales (CO)
Publication Details
- Journal
- International Electronic Journal of Algebra
- Published
- 2026-09-06
- DOI
- https://doi.org/10.24330/ieja.2034019
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00