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Article

Kepka, Tomáš ; Ščukin, K. K.
Simple quasigroups whose inner permutations commute. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 223-227
MSC: 20N05 | MR 1241731 | Zbl 0784.20035
Keywords:
quasigroup; inner permutation
Summary:
Simple quasigroups with commuting inner permutations are medial.
References:
[1] Itô N.: Über das Produkt von zwei abelschen Gruppen. Math. Z. 62 (1955), 400-401. MR 0071426
[2] Ježek J., Kepka T.: Varieties of abelian quasigroups. Czech. Math. J. 27 (1977), 473-503. MR 0450446
[3] Kepka T.: Multiplication groups of some quasigroups. Colloq. Math. Soc. J. Bolyai 29 (1977), 459-465. MR 0660883
[4] Kepka T.: Quasigroups having at most three inner mappings. Acta Univ. Carolinae Math. Phys. 30 (1989), 3-11. MR 1046070 | Zbl 0702.20053
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