Nilpotent graphs over skew PBW extensions
Rings and Algebras
2025-06-03 v1
Abstract
We investigate the diameter and girth of the nilpotent graph for skew PBW extensions over -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.
Keywords
Cite
@article{arxiv.2506.00632,
title = {Nilpotent graphs over skew PBW extensions},
author = {Sebastián Higuera and Armando Reyes},
journal= {arXiv preprint arXiv:2506.00632},
year = {2025}
}
Comments
15 pages