Abstract
Let A A be a finite-dimensional, flexible, Lie-admissible algebra over a field Φ \Phi of characteristic ≠ 2 \ne 2 . Let S S be a subalgebra of A − {A^ - } and H H be a Cartan subalgebra of S S . It is shown that S S is a subalgebra of A A if and only if H H ⊆ S HH \subseteq S .
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