COMMUNICATIONS IN ALGEBRA, vol.50, no.8, pp.3246-3260, 2022 (SCI-Expanded)
Given an associative algebra satisfying the left commutativity identity abc = bac (Perm-algebra) with a derivation d, the new operation a degrees b=ad(b) is left-symmetric (pre-Lie). We derive necessary and sufficient conditions for a left-symmetric algebra to be embeddable into a differential Perm-algebra.