English

A Chain Ring Analogue of the Erdos-Ko-Rado Theorem

Combinatorics 2026-02-13 v1

Abstract

In this paper, we prove an analogue of the Erd\H{o}s-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.

Keywords

Cite

@article{arxiv.2602.12219,
  title  = {A Chain Ring Analogue of the Erdos-Ko-Rado Theorem},
  author = {Ivan Landjev and Emiliyan Rogachev and Assia Rousseva},
  journal= {arXiv preprint arXiv:2602.12219},
  year   = {2026}
}