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Some properties of 6-figures and cross-ratios in some moufangklingenberg planes
- Publication Year :
- 2010
- Publisher :
- World Scientific, 2010.
-
Abstract
- In this paper, we study on Moufang–Klingenberg planes [Formula: see text] defined over a local alternative ring [Formula: see text] of dual numbers. We get relations between some special 6-figures and its ratios. Also, we construct a relation between the solvability of the special quadric equation in [Formula: see text] and the existence of the special 6-figure in [Formula: see text]. Moreover, we give a construction which provides an algorithm for "squaring" and "cubing" a cross-ratio of points in [Formula: see text].
- Subjects :
- Ring (mathematics)
Pure mathematics
Moufang-Klingenberg planes
Algebra and Number Theory
Relation (database)
Applied Mathematics
Dual number
Cross-ratio
Construct (python library)
6-figure
Algebra
Local alternative ring
Quadratic equation
Local Ring
Projective Transformation
Collineation
Ratio of 6-figure
Mathematics
Mathematics, applied
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....1f48057ee99dd9d812094375d5b984cd