Abstract
We provide: (1) an independent quantifier-free axiomatization for André's central translation structures and state a conjecture, which, if true, would show a very strong connection between central translation structures and translation planes; (2) a first-order axiomatization of Everett's and Permutti's affine geometries over rings without zero divisors in which any two non-zero elements have a right greatest common divisor.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 93-104 |
| Number of pages | 12 |
| Journal | Note di Matematica |
| Volume | 20 |
| Issue number | 2 |
| State | Published - 2001 |
Keywords
- Affine ring-geometry
- Central translation structure
- Domains with a right GCD
- Integral
- Translation plane
ASJC Scopus subject areas
- General Mathematics