G. Deryabina

collaborators

2 papers

math.RA2018

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_…

math.RA2016

Products of several commutators in a Lie nilpotent associative algebra

Galina Deryabina, Alexei Krasilnikov

Let $F$ be a field of characteristic $\neq = 2, 3$ and let $A$ be a unital associative $F$ -algebra. Define a left-normed commutator $[a_{1}, a_{2}, \dots, a_{n}]$ $(a_{i} \in A)$ recursively…