Central and medial quasigroups of small order
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2017-01-05 13:56
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512.548 (79)
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STANOVSKY, David, VOJTĔCHOVSKÝ, Piotr. Central and medial quasigroups of small order. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 1(80), pp. 24-40. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(80) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322

Central and medial quasigroups of small order
CZU: 512.548

Pag. 24-40

Stanovsky David1, Vojtĕchovský Piotr2
 
1 Charles University,
2 University of Denver
 
Disponibil în IBN: 19 iulie 2016


Rezumat

We enumerate central and medial quasigroups of order less than 128 up to isomorphism, with the exception of those quasigroups that are isotopic to C4 ЧC4 2 , C6 2 , C4 3 or C3 5 . We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group.

Cuvinte-cheie
medial quasigroup, central quasigroup, T-quasigroup,

entropic quasigroup, abelian quasigroup, quasigroup affine over abelian group, abelian algebra, affine algebra, classification of quasigroups, enumeration of quasigroups