Contractions of quasigroups and Latin squares

Deriyenko Ivan; Dudek Wieslaw

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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

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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.

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