Sandu, N. I.; Onoj, V. I. Locally finite distributive quasigroups and CH-quasigroups. (Russian) Zbl 0566.20053 Mat. Issled. 71, 86-92 (1983). By a CH-quasigroup we mean a symmetric quasigroup in which any subquasigroup generated by three elements is abelian. A symmetric quasigroup Q(\(\cdot)\) is abelian if \(Q(+)\) (where \(x+y=k\cdot xy\), k being a fixed element of Q) is an abelian group. It is proved that every locally finite distributive quasigroup and every locally finite CH- quasigroup is isomorphic to the direct product of p-quasigroups \(Q_ p\), where, for each prime number \(p\neq 3\), \(Q_ p\) is medial. MSC: 20N05 Loops, quasigroups Keywords:symmetric quasigroup; locally finite distributive quasigroup; locally finite CH-quasigroup; direct product of p-quasigroups PDF BibTeX XML Cite \textit{N. I. Sandu} and \textit{V. I. Onoj}, Mat. Issled. 71, 86--92 (1983; Zbl 0566.20053) Full Text: EuDML