A Chain Ring Analogue of the Erdos-Ko-Rado Theorem
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910020560486400 |
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| author | Landjev, Ivan Rogachev, Emiliyan Rousseva, Assia |
| author_facet | Landjev, Ivan Rogachev, Emiliyan Rousseva, Assia |
| contents | In this paper, we prove an analogue of the Erdős-Ko-Rado theorem intersecting families of subspaces in projective Hjelmslev geometries over finite chain rings of nilpotency index 2. We give an example of maximal families that are not canonically intersectng. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12219 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Chain Ring Analogue of the Erdos-Ko-Rado Theorem Landjev, Ivan Rogachev, Emiliyan Rousseva, Assia Combinatorics 05D05, 94B65, 51A20, 51A21, 51A22 In this paper, we prove an analogue of the Erdős-Ko-Rado theorem intersecting families of subspaces in projective Hjelmslev geometries over finite chain rings of nilpotency index 2. We give an example of maximal families that are not canonically intersectng. |
| title | A Chain Ring Analogue of the Erdos-Ko-Rado Theorem |
| topic | Combinatorics 05D05, 94B65, 51A20, 51A21, 51A22 |
| url | https://arxiv.org/abs/2602.12219 |