We show that in Jordan systems (algebras, triple systems,
and pairs) monomials containing two elements of a trivial minimal
ideal vanish, so improving the answer given by Anquela and Cortes
[Inventiones Mathematicae 168 (2007) 83-90] to the problem posed in
1968 by Zhevlakov [Dniester Notebook: Unsolved Problems in the Theory
of Rings and Modules], extended by Nam and McCrimmon [Proc. Amer.
Math. Soc. 88 (4) (1983), 579-583].