Original scientific paper
The maximal number of U-k - seminets of the maximal degree
R. Galić
Abstract
Aczel (1965) investigated quasigroups, 3-nets and nomograms
and Belousov (1971) k-nets and associated (k-1) - quasigroups. There are different 3 - seminets and k-seminets (see e.g. Havel (1967), Taylor (1971), Ušan (1977), Galić (1989), etc.) to which by some rules one can assign corresponding algebraic structures
(partial quasigroups and partial groupoids). Galić (1990) defines
U-k - seminets of the maximal degree and shows the existence and
construction in dependence on the set P over which one constructs
a k-seminet. In this paper it is shown how many U-k - seminets
of maximal degree μ can be constructed over the set P
for the given t-order.
Keywords
U-k - seminets; k - seminets; t - order; maximal degree
Hrčak ID:
1813
URI
Publication date:
20.6.1997.
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