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On a configuration in algebraic spatial nets. (Russian) Zbl 0582.20055
The author investigates a k-net N of dimension 3 satisfying the closure condition of rank 7 and order 8 (this closure condition is unique up to isomorphisms). He uses an algebraic description of N by a system of coordinatizing 3-quasigroups of a special form and finds relations connecting 3-quasigroups which correspond to chosen directions.
Reviewer: V.Havel
MSC:
20N05 Loops, quasigroups
51A25 Algebraization in linear incidence geometry
53A60 Differential geometry of webs
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