TL;DR
This paper revisits von Staudt's theorem, extending it to mappings that preserve harmonic quadruples over projective lines of rings with many units, including non-commutative rings.
Contribution
It generalizes von Staudt's theorem to non-commutative rings with sufficient units, broadening the theorem's applicability.
Findings
Extended von Staudt's theorem to non-commutative rings
Established conditions for mappings preserving harmonic quadruples
Included rings where 2 is a unit
Abstract
We establish a version of von Staudt's theorem on mappings which preserve harmonic quadruples for projective lines over (not necessarily commutative) rings with "sufficiently many" units, in particular 2 has to be a unit.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFinite Group Theory Research · Rings, Modules, and Algebras · Advanced Topics in Algebra