Bauman Moscow State Technical University

output

19952026

most citedHydrodynamic model for electron-hole plasma in graphene

142 citations

researchers with a paper here

collaborating institutions

Showing math.RAShow all

8 papers · 1 filter

math.RA2020

Nonstandard analysis, deformation quantization and some logical aspects of (non)commutative algebraic geometry

Alexei Kanel-Belov, Alexei Chilikov, Ilya Ivanov-Pogodaev +4

This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and…

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.RA2017

Normal basises of algebras and Exponential Diophantine equations in rings of positive characteristic

A. A. Chilikov, A. Ya. Belov

In this paper we discourse basises of representable algebras. This question lead to arithmetic problems. We prove algorithmical solvability of exponential-Diophantine equations in…

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)…