Nilpotent graphs over skew PBW extensions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913868849086464 |
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| author | Higuera, Sebastián Reyes, Armando |
| author_facet | Higuera, Sebastián Reyes, Armando |
| contents | We investigate the diameter and girth of the nilpotent graph for 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nilpotent graphs over skew PBW extensions Higuera, Sebastián Reyes, Armando Rings and Algebras 05C12, 05C20, 13A99, 16S15, 16S30, 16S32, 16S36, 16S38 16U99 We investigate the diameter and girth of the nilpotent graph for 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. |
| title | Nilpotent graphs over skew PBW extensions |
| topic | Rings and Algebras 05C12, 05C20, 13A99, 16S15, 16S30, 16S32, 16S36, 16S38 16U99 |
| url | https://arxiv.org/abs/2506.00632 |