English

The Connected Components of the Projective Line over a Ring

Algebraic Geometry 2024-02-13 v1 Rings and Algebras

Abstract

The main result of the present paper is that the projective line over a ring RR is connected with respect to the relation "distant" if, and only if, RR is a GE2GE_2-ring.

Keywords

Cite

@article{arxiv.1304.0167,
  title  = {The Connected Components of the Projective Line over a Ring},
  author = {Andrea Blunck and Hans Havlicek},
  journal= {arXiv preprint arXiv:1304.0167},
  year   = {2024}
}
R2 v1 2026-06-21T23:51:04.137Z