×

On the question of reducibility of principal parastrophies of \(n\)-quasigroups. (Russian) Zbl 0727.20046

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 \(g\in S_ n\)).

MSC:

20N15 \(n\)-ary systems \((n\ge 3)\)
PDFBibTeX XMLCite
Full Text: EuDML