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On some properties of loops with commutant in the kernel. (Russian) Zbl 0747.20036
The author continues his investigations about loops \((L,\cdot)\) with \(L'=[L,L]\subseteq N\) \((N=\{a\in L\mid ax\cdot y=a\cdot xy\), \(y\cdot xa=yx\cdot a\), \(xa\cdot y=x\cdot ay\), \(\forall x,y\in L\}\). He finds the connection between groups of inner permutations of two principally isotopic loops of this kind.
Reviewer: V.Havel (Brno)
MSC:
20N05 Loops, quasigroups
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