Contractions of quasigroups and Latin squares
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DERIYENKO, Ivan, DUDEK, Wieslaw. Contractions of quasigroups and Latin squares. In: Quasigroups and Related Systems, 2013, vol. 21, nr. 2(30), pp. 165-174. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 21, Numărul 2(30) / 2013 / ISSN 1561-2848

Contractions of quasigroups and Latin squares

Pag. 165-174

Deriyenko Ivan1, Dudek Wieslaw2
 
1 Kremenchuk National University,
2 Institute of Mathematics and Computer Science, Wroclaw University of Technology
 
Disponibil în IBN: 31 octombrie 2014


Rezumat

By a contraction (compression) we mean a method of reduction of the multiplication table of a quasigroup having n elements to the multiplication table of a quasigroup having n − 1 elements. We describe such method and characterize quasigroups allowing a contraction.

Cuvinte-cheie
quasigroup,

prolongation of quasigroup, contraction of quasigroup, loop.