Projective Ring Lines and Their Generalisations

TL;DR

This paper surveys the structure of projective ring lines and their generalizations, exploring substructures that extend beyond traditional projective lines over rings.

Contribution

It provides a comprehensive overview of projective ring lines and introduces their broader generalizations and substructures.

Findings

Detailed classification of projective ring lines

Identification of substructures more general than classical lines

Insights into the algebraic properties of these geometries

Abstract

We give a survey on projective ring lines and some of their substructures which in turn are more general than a projective line over a ring.