2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63283Filipov proved that Jacobian algebra is n-Lie. In our paper we consider algebras defined on associative commutative algebra U with derivation $\der$ by (k+1)-multiplication $V^{0,1,...,k}=\der^0\wedge\der^1\wedge...\wedge \der^k$ (Wronskian). We study whether they have (k+1)-Lie, k-left commutative and homotopical (k+1)-Lie structures.21 pages, LaTeXRings and AlgebrasMathematical Physics17B66; 17B50text