Glukhov, M. M. On the question of reducibility of principal parastrophies of \(n\)-quasigroups. (Russian) Zbl 0727.20046 Mat. Issled. 113, 37-41 (1990). The author gives constructions under which the \((i,j)\)-reducibility of the principal \(h\)-parastrophy of an \(n\)-quasigroup implies the \((k,l)\)-reducibility of its principal \(g\)-parastrophy. For any \(n>2\) there are \(n\)-quasigroups with irreducible principal \(g\)-parastrophy (for any \(g\in S_ n\)). Reviewer: W.A.Dudek (Wrocław) Cited in 1 Document MSC: 20N15 \(n\)-ary systems \((n\ge 3)\) Keywords:parastrophies; reducibility; \(n\)-quasigroups PDFBibTeX XMLCite \textit{M. M. Glukhov}, Mat. Issled. 113, 37--41 (1990; Zbl 0727.20046) Full Text: EuDML