Geodesic
On $\pi$-quasigroups isotopic to abelian groups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 109-117 
Parascovia Syrbu. On $\pi$-quasigroups isotopic to abelian groups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 109-117. http://geodesic.mathdoc.fr/item/BASM_2009_3_a10/
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     title = {On $\pi$-quasigroups isotopic to abelian groups},
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     url = {http://geodesic.mathdoc.fr/item/BASM_2009_3_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A $\pi$-quasigroup is a quasigroup satisfying one of the seven minimal identities from the V. Belousov's classification given in [1]. Some general results about $\pi$-quasigroups isotopic to groups are obtained by V. Belousov and A. Gwaramija in [1] and [2]. $\pi$-Quasigroups isotopic to abelian groups are investigated in this paper.

[1] Belousov V., “Parastrophic-orthogonal quasigroups”, Quasigroups and Related Systems, 14 (2005), 3–51 | MR

[2] Belousov V., Gwaramija A., “On Stein quasigroups”, Soobsh. Gruz. SSR, 44 (1966), 537–544 | MR | Zbl

[3] Bennett F. E., “The spectra of a variety of quasigroups and related combinatorial designs”, Discrete Math., 77 (2005), 29–50 | DOI | MR

[4] Bennett F. E., “Quasigroups”, The CRC handbook of combinatorial designs, eds. C. J. Colbourn, J. H. Dinitz, CRC Press, 1996 | MR