Semiorderings and localizations of planar ternary rings. (English) Zbl 0786.51015
The author continues his investigations of semiorderings in planar ternary rings begun in [Topics in combinatorics and graph theory. 405-411 (1990; Zbl 0712.11025)]. He proves that every archimedean semiordering of a planar ternary ring is already an ordering. Further, he studies the compatibility between semiorderings and places. In particular, he shows that every semiordering of a planar ternary ring with rational prime field induces a natural place into the reals.
Reviewer: N.Knarr (Braunschweig)
MSC:
| 51G05 | Ordered geometries (ordered incidence structures, etc.) |
| 12E20 | Finite fields (field-theoretic aspects) |
Citations:
Zbl 0712.11025References:
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