On some products of commutators in an associative ring

Galina Deryabina, Alexei Krasilnikov

Let $A$ be a unital associative ring and let $T^{(k)}$ be the two-sided ideal of $A$ generated by all commutators $[a_1,a_2,\dots ,a_k]$ $(a_i\in A)$ where $[a_1, a_2] = a_1 a_…