G. Deryabina

activity

20132018

most citedProducts of commutators in a Lie nilpotent associative algebra

9 citations · 24 across the 6 of their papers we have counts for

collaborators

Showing math.RAShow all

6 papers · 1 filter

math.RA2018★ 4 cited

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★ 1 cited

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…

math.RA2015★ 9 cited

Products of commutators in a Lie nilpotent associative algebra

Galina Deryabina, Alexei Krasilnikov

Let $F$ be a field and let $F ⟨ X ⟩$ be the free unital associative algebra over $F$ freely generated by an infinite countable set $X = {x_{1}, x_{2}, \dots}$ . Define a…

math.RA2014★ 1 cited

The subalgebra of graded central polynomials of an associative algebra

Galina Deryabina, Alexei Krasilnikov

Let $F$ be a field and let $F ⟨ X ⟩$ be the free unital associative $F$ -algebra on the free generating set $X = {x_{1}, x_{2}, \dots}$ . A subalgebra (a vector subspace)…

math.RA2013★ 9 cited

The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3

Galina Deryabina, Alexei Krasilnikov

Let $Z ⟨ X ⟩$ be the free unital associative ring freely generated by an infinite countable set $X = {x_{1}, x_{2}, \dots}$ . Define a left-normed commutator $[x_…

math.RA2013

A 5-Engel associative algebra whose group of units is not 5-Engel

Galina Deryabina, Alexei Krasilnikov

Let R be an associative ring with unity and let [R] and U(R) denote the associated Lie ring (with [a,b]=ab-ba) and the group of units of R, respectively. In 1983 Gupta and Levin pr…