Abstract
Let (G; ) be a Bol loop and let , , be mappings of G into G so that x = x x = x(x x) for all x2 G. We show that the following conditions are equivalent: (a) (xy z)y = x(y(z y )) for all x; y; z2 G, (b) (G; ) is Moufang and x is in the nucleus of (G; ) for all x2 G.
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