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- Title
Ordered line and skew-fields in the Desargues affine plane.
- Authors
Zaka, O.; Peters, J. F.
- Abstract
This paper introduces ordered skew fields that result from the construction of a skew field over an ordered line in a Desargues affine plane. A special case of a finite ordered skew field in the construction of a skew field over an ordered line in a Desargues affine plane in Euclidean space, is also considered. Two main results are given in this paper: (1) every skew field constructed over a skew field over an ordered line in a Desargues affine plane is an ordered skew field and (2) every finite skew field constructed over a skew field over an ordered line in a Desargues affine plane in R² is a finite ordered skew field.
- Subjects
DIVISION rings; FINITE fields; AEROSPACE planes
- Publication
Balkan Journal of Geometry & Its Applications, 2021, Vol 26, Issue 1, p141
- ISSN
1224-2780
- Publication type
Article