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Article

Markvartová, Jitka
A parallelogram configuration condition in nets. (English). Archivum Mathematicum, vol. 29 (1993), issue 1, pp. 5-17
MSC: 05B25, 05B30, 20N05 | MR 1242623 | Zbl 0797.05026
Keywords:
k-net; parallelogram “letter” condition; admissible relation and admissible algebra
Summary:
After describing a (general and special) coordinatization of $k$-nets there are found algebraic equivalents for the validity of certain quadrangle configuration conditions in $k$-nets with small degree $k$.
References:
[1] Belousov, V. D.: Algebraic nets and quasigroups. Kishinev, 1971, in Russian.
[2] Havel, V.: General nets and their associated groupoids. Proc.Symp. “n-ary Structures” (1982), Skopje, 229-241. MR 0735655 | Zbl 0583.20057
[3] Havel, V.: Homomorphisms of nets of fixed degree with singular points on the same line. Czech. Math. Journ. 26 (1976), 43-54. MR 0392619 | Zbl 0331.50014
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