2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73846We define the class of non-decomposable $N$-ary operations in the mixed tensor algebra $\bigoplus\limits_{i,j=0}^\infty A_i^j$. There are higher Jacobi-like identities for (binary) deformed matrix commutator and a 3-ary operation which is non-decomposable into binary ones.12 pages, 8 figuresRings and AlgebrasCategory Theorytext